Receiving Helpdesk

how do you find the socially optimal quantity

by Dr. Fern Block Published 3 years ago Updated 2 years ago

Answer: To find the socially optimal amount of the good we need to set the market demand curve equal to the marginal cost curve. Here we assume that both the demand curve and the marginal cost curve include all the benefits and all the costs, respectively, that society faces with this good.May 4, 2017

Full Answer

How to determine the socially efficient quantity?

The socially efficient quantity can be attained by taxing each firm an amount equal to (1/12)*192 = $16 per lift ticket so that firms will now consider the external effect when determining their output level. Likewise, what is social inefficiency?

Is a minimum quality standard socially optimal?

minimum-quality standard. When the cost of regulation is relatively low, we show that the socially optimal choice depends on the producers’ cost structure for complying with regulation and improving quality. Under a marginal cost for improving quality, the mandatory labeling is sufficient for reaching the socially optimal level of quality.

What is the socially optimal level of output?

When output occurs at the intersection of marginal social benefit (MSB) and marginal social cost (MSC), the socially optimal level of output is achieved. Also known as the allocatively efficient level of output. If output occurs at any other level, a market failure exists.

What is the socially efficient quantity?

What is the socially efficient quantity? The socially efficient level of output is that quantity that maximizes the sum of the consumer and producer surpluses. It is the most efficient output level because the marginal social benefit of producing and consuming another unit equals the marginal social cost. Rest of the in-depth answer is here.

What is the socially optimal quantity?

The allocatively efficient quantity of output, or the socially optimal quantity, is where the demand equals marginal cost, but the monopoly will not produce at this point.

How do you find the socially optimal quantity from a table?

1:093:00Public Goods: A Table-Type Problem - YouTubeYouTubeStart of suggested clipEnd of suggested clipDollars so the optimal quantity here will occur where the marginal social benefit which we justMoreDollars so the optimal quantity here will occur where the marginal social benefit which we just derived equals the marginal. Cost in this case that is going to represent the price of ninety.

How do you calculate socially efficient quantity?

The socially efficient quantity of lift tickets can be found by setting MSB = inverse supply curve, since there are no (net) marginal external costs. Thus 80 – (1/5)Q = (1/6)Q yielding Q = 218.18, or approximately 218.

How do you find the optimal quantity?

The formula you need to calculate optimal order quantity is: [2 * (Annual Usage in Units * Setup Cost) / Annual Carrying Cost per Unit]^(1/2). Substitute each input with your own figures.

What is a socially optimal output?

The output level that reflects all the costs and benefits associated with a transaction i.e. it is the equilibrium that would be achieved if the market outcome reflects the effect of externalities.

What is the socially optimal level of pollution?

The socially optimal quantity of pollution is QOPT ; at that quantity, the marginal social bene- fit of pollution is equal to the marginal social cost, corresponding to $200. savings to a polluter of being allowed to emit one more ton rises. The socially optimal quantity of pollution in this example isn't zero.

What Happens When We Include Externalities In Our Economics?

Negative externalities result in excess production when the producer does not bear all costs. Positive externalities result in a decrease in production when the buyer does not receive all the benefits of the good.

When There Are Market Externalities The Market Allocation Of Resources Will Be Optimal?

A market externality will not be optimal when it comes to allocating resources.

How Do You Measure The Problem Of Externalities?

Cost of damages and cost of control are two of the most common quantitative methods economists use to assess externalities. If an oil spill occurs, the cost of damages method calculates the cost of cleaning up the pollution and restoring the habitat to its original state, for example.

How Do You Calculate The Benefit Of An Externality?

In this case, a+b+e equals the market surplus at Q1, which is equal to (total private benefits – total private costs)…

What Are Externalities Microeconomics?

An externality occurs when a buyer and seller exchange has an impact on a third party who is not a part of the exchange. A third party can be negatively impacted by an external factor.

What Are The 4 Types Of Externalities?

Economic theory considers four types of externalities. Consumption externalities are positive, production externalities are positive, and production externalities are negative.

What Is The Socially Optimal Quantity?

In order for a monopoly to produce, it must be able to produce allocatively efficient quantities of output, or socially optimal quantities. A monopoly, on the other hand, produces too little output at a high cost, resulting in weight loss for the monopoly.

image
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version383msRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[09:42:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[09:42:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[09:42:04] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[09:42:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[09:42:04] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[09:42:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[09:42:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[09:42:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[09:42:04] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (15.31ms)
  • Application (367ms)
  • 1 x Application (95.87%)
    367.47ms
    1 x Booting (3.99%)
    15.31ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed344ms
    • select * from `posts` where `published_at` <= '2025-06-08 09:42:04' and `slug` = 'how-do-you-find-the-socially-optimal-quantity' and `posts`.`deleted_at` is null limit 1
      3.22ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-08 09:42:04
      • 1. how-do-you-find-the-socially-optimal-quantity
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 154393 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      3.84msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 154393
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      1.57ms/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      660μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      400μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      334ms/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 36433 limit 1
      930μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 36433
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        eX3IwSzVMxjfDwi9xFDUewhXJeSr2lWxZ9cKzreR
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/how-do-you-find-the-socially-optimal-quantit...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /how-do-you-find-the-socially-optimal-quantity
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:25 [ "cookie" => array:1 [ 0 => "_pk_id.64.7c30=f36c72d4e130310a.1749355915.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImttTFRWTkN6alMwWFJQblFiMzJuSHc9PSIsInZhbHVlIjoiR0pSbHBoVlU0eU5LQVBBY2hST0tJR3MzUUE4MTNsNmtkY3BmNi8xVzM5ZklHVTVxZFJUZkx6dXpIOUNxSVJVRlBkbS9DM0tKZlJ6TFpydGhHQjJtZzVxck94WThpc05GbWNEMVN6ZGl6V3lmMWlzTjV4SUU2ZG81aEtvTHVOakYiLCJtYWMiOiIzNWQyZWIyMjFmMDYwYWUzNzk2M2YwZWI5YjJlOTJiMjUwZmIyZjYwNWVmZGQxYTZlMTRmOGRjYzNiYzQ0OTRhIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IlhlYWZjcXFLUG1jelBGdGtSNnRlRHc9PSIsInZhbHVlIjoiSys0dktwejR6OHlqM3N4K0NVTmNnTWtqK1pDRHNuOFFacDg4Z044R0JVb1pOaFQyWGVWR1o5UC9IMVhUWUZZclB1Z2Y2cmtZUkR1Ukw5YUJWYnVabEZYVUpGN09LUWFla0x5KzRFYm1US2xPODdMd1hUa1AvSmtCd2hIbjJnZWsiLCJtYWMiOiJkNDI5MmU4MzY1YmUwNjA4OTJjNDdkNGUxY2JkYzg1ZDE2MmI4M2RkNDAwZGFhN2MyOGM1MGE5OGQ1N2Y1MTI0IiwidGFnIjoiIn0%3D_pk_id.64.7c30=f36c72d4e130310a.1749355915.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImttTFRWTkN6alMwWFJQblFiMzJuSHc9PSIsInZhbHVlIjoiR0pSbHBoVlU0eU5LQVBBY2hST0tJR" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.94" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "cf-ray" => array:1 [ 0 => "94c58c815837e261-ORD" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "216.73.216.94, 108.162.216.243" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:56 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/how-do-you-find-the-socially-optimal-quantity" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/how-do-you-find-the-socially-optimal-quantity" "REMOTE_PORT" => "49128" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "108.162.216.243" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_COOKIE" => "_pk_id.64.7c30=f36c72d4e130310a.1749355915.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImttTFRWTkN6alMwWFJQblFiMzJuSHc9PSIsInZhbHVlIjoiR0pSbHBoVlU0eU5LQVBBY2hST0tJR3MzUUE4MTNsNmtkY3BmNi8xVzM5ZklHVTVxZFJUZkx6dXpIOUNxSVJVRlBkbS9DM0tKZlJ6TFpydGhHQjJtZzVxck94WThpc05GbWNEMVN6ZGl6V3lmMWlzTjV4SUU2ZG81aEtvTHVOakYiLCJtYWMiOiIzNWQyZWIyMjFmMDYwYWUzNzk2M2YwZWI5YjJlOTJiMjUwZmIyZjYwNWVmZGQxYTZlMTRmOGRjYzNiYzQ0OTRhIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6IlhlYWZjcXFLUG1jelBGdGtSNnRlRHc9PSIsInZhbHVlIjoiSys0dktwejR6OHlqM3N4K0NVTmNnTWtqK1pDRHNuOFFacDg4Z044R0JVb1pOaFQyWGVWR1o5UC9IMVhUWUZZclB1Z2Y2cmtZUkR1Ukw5YUJWYnVabEZYVUpGN09LUWFla0x5KzRFYm1US2xPODdMd1hUa1AvSmtCd2hIbjJnZWsiLCJtYWMiOiJkNDI5MmU4MzY1YmUwNjA4OTJjNDdkNGUxY2JkYzg1ZDE2MmI4M2RkNDAwZGFhN2MyOGM1MGE5OGQ1N2Y1MTI0IiwidGFnIjoiIn0%3D_pk_id.64.7c30=f36c72d4e130310a.1749355915.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6ImttTFRWTkN6alMwWFJQblFiMzJuSHc9PSIsInZhbHVlIjoiR0pSbHBoVlU0eU5LQVBBY2hST0tJR" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.94" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_CF_RAY" => "94c58c815837e261-ORD" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.94, 108.162.216.243" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1749355924.7168 "REQUEST_TIME" => 1749355924 ]
        request_cookies
        0 of 0
        array:4 [ "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null "XSRF-TOKEN" => "eX3IwSzVMxjfDwi9xFDUewhXJeSr2lWxZ9cKzreR" "askhelpdesk_session" => "Uity8IUE54AIoNm0eVEnWl9jVIf1BIbb1RfL5odc" ]
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Sun, 08 Jun 2025 04:12:04 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InNuTitrYytaemtmSmI4STdDNlhuUEE9PSIsInZhbHVlIjoibWozVFRvekZMVEZCckQxYzMvUHJBMWZpaWN1eU1ZOTNEbWRuOUtTTEhLNENLWi9QdThvWDVHR3BxdmwyOWw3SWlYK2J3UFFnbzdBandlQnJyZ1NYSGZnVmpDU3NKMVZ2T1RSY1JwVDQ5VitHK2VYa1ZTY2dVNnAzSTZ0bU00NDYiLCJtYWMiOiI0NjBhYWQ5OWQyMTg2MjAwNDVmZTFiN2QyODU3ZGNkMGIwOGY5N2Y5ODU3NjFjZTgyMzNlMTAwMTc4NTJkZjhhIiwidGFnIjoiIn0%3D; expires=Sun, 08-Jun-2025 06:12:05 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6InNuTitrYytaemtmSmI4STdDNlhuUEE9PSIsInZhbHVlIjoibWozVFRvekZMVEZCckQxYzMvUHJBMWZpaWN1eU1ZOTNEbWRuOUtTTEhLNENLWi9QdThvWDVHR3BxdmwyOWw3SWlYK2J3U" 1 => "askhelpdesk_session=eyJpdiI6InVydU1ZWHZld3krRFpEdFRqKytROHc9PSIsInZhbHVlIjoiMngwcjZDbGNrb3hMeG5IY1BiTmN2eGdEVVNRVEJLR0p5RFR0MjFGd09mNHNpSkg3UFFzZG1maGRZcWpEMkJxYm1pelQ2WThMT2xvYWNwYlFiMG1ZSlFqenRnR3UzcHlWZ3RZQzROV0EyUmY1U2ZvSDFDWTJGWU9xQ3l2TWMyV24iLCJtYWMiOiI1ZjQyZjM4NGFhZmJkMjk1NWNkZGFhNDBkMTA2OGMzZDZiZmI3OTJhZWU4NzRhOGEzMmI3NmY5MDEwM2U5NmI1IiwidGFnIjoiIn0%3D; expires=Sun, 08-Jun-2025 06:12:05 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6InVydU1ZWHZld3krRFpEdFRqKytROHc9PSIsInZhbHVlIjoiMngwcjZDbGNrb3hMeG5IY1BiTmN2eGdEVVNRVEJLR0p5RFR0MjFGd09mNHNpSkg3UFFzZG1maGRZcWpEMkJx" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InNuTitrYytaemtmSmI4STdDNlhuUEE9PSIsInZhbHVlIjoibWozVFRvekZMVEZCckQxYzMvUHJBMWZpaWN1eU1ZOTNEbWRuOUtTTEhLNENLWi9QdThvWDVHR3BxdmwyOWw3SWlYK2J3UFFnbzdBandlQnJyZ1NYSGZnVmpDU3NKMVZ2T1RSY1JwVDQ5VitHK2VYa1ZTY2dVNnAzSTZ0bU00NDYiLCJtYWMiOiI0NjBhYWQ5OWQyMTg2MjAwNDVmZTFiN2QyODU3ZGNkMGIwOGY5N2Y5ODU3NjFjZTgyMzNlMTAwMTc4NTJkZjhhIiwidGFnIjoiIn0%3D; expires=Sun, 08-Jun-2025 06:12:05 GMT; path=/XSRF-TOKEN=eyJpdiI6InNuTitrYytaemtmSmI4STdDNlhuUEE9PSIsInZhbHVlIjoibWozVFRvekZMVEZCckQxYzMvUHJBMWZpaWN1eU1ZOTNEbWRuOUtTTEhLNENLWi9QdThvWDVHR3BxdmwyOWw3SWlYK2J3U" 1 => "askhelpdesk_session=eyJpdiI6InVydU1ZWHZld3krRFpEdFRqKytROHc9PSIsInZhbHVlIjoiMngwcjZDbGNrb3hMeG5IY1BiTmN2eGdEVVNRVEJLR0p5RFR0MjFGd09mNHNpSkg3UFFzZG1maGRZcWpEMkJxYm1pelQ2WThMT2xvYWNwYlFiMG1ZSlFqenRnR3UzcHlWZ3RZQzROV0EyUmY1U2ZvSDFDWTJGWU9xQ3l2TWMyV24iLCJtYWMiOiI1ZjQyZjM4NGFhZmJkMjk1NWNkZGFhNDBkMTA2OGMzZDZiZmI3OTJhZWU4NzRhOGEzMmI3NmY5MDEwM2U5NmI1IiwidGFnIjoiIn0%3D; expires=Sun, 08-Jun-2025 06:12:05 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6InVydU1ZWHZld3krRFpEdFRqKytROHc9PSIsInZhbHVlIjoiMngwcjZDbGNrb3hMeG5IY1BiTmN2eGdEVVNRVEJLR0p5RFR0MjFGd09mNHNpSkg3UFFzZG1maGRZcWpEMkJx" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "eX3IwSzVMxjfDwi9xFDUewhXJeSr2lWxZ9cKzreR" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/how-do-you-find-the-socially-optimal-quantity" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]