{"id":28489,"date":"2025-06-20T12:50:24","date_gmt":"2025-06-20T12:50:24","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=28489"},"modified":"2025-06-20T12:50:29","modified_gmt":"2025-06-20T12:50:29","slug":"suppose-a-firm-imposes-an-external-social-cost-and-the-government-decides-to-impose-a-corrective-tax","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/suppose-a-firm-imposes-an-external-social-cost-and-the-government-decides-to-impose-a-corrective-tax\/","title":{"rendered":"Suppose a firm imposes an external social cost and the government decides to impose a corrective tax"},"content":{"rendered":"\n<p>True or false:Suppose a firm imposes an external social cost and the government decides to impose a corrective tax. The tax should be exactly equal to the marginal social cost to ensure that the efficient level of output will be produced.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: False<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (Approx. 300 Words):<\/h3>\n\n\n\n<p>The statement claims that a corrective tax (also known as a <strong>Pigouvian tax<\/strong>) should be <strong>equal to the marginal social cost (MSC)<\/strong> to achieve the efficient level of output. However, this is <strong>incorrect<\/strong>.<\/p>\n\n\n\n<p>To achieve efficiency, the corrective tax should be <strong>equal to the marginal external cost (MEC)<\/strong>\u2014<em>not<\/em> the entire marginal social cost. Here\u2019s why:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Understanding the Key Terms:<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Marginal Private Cost (MPC):<\/strong> The cost incurred by the producer for producing one more unit.<\/li>\n\n\n\n<li><strong>Marginal External Cost (MEC):<\/strong> The cost of that additional unit on society that the producer does not bear (e.g., pollution).<\/li>\n\n\n\n<li><strong>Marginal Social Cost (MSC):<\/strong> The total cost to society, which is the <strong>sum of MPC and MEC<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>MSC=MPC+MEC\\text{MSC} = \\text{MPC} + \\text{MEC}<\/p>\n\n\n\n<p>A <strong>Pigouvian tax<\/strong> aims to correct a <strong>negative externality<\/strong> (like pollution) by internalizing the external cost. When producers are taxed <strong>an amount equal to the MEC<\/strong>, their private cost rises to match the <strong>MSC<\/strong>. This aligns the producer\u2019s incentives with society\u2019s interest, leading to the <strong>socially optimal (efficient) level of output<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Example:<\/h4>\n\n\n\n<p>Suppose a factory produces plastic and each ton causes $20 in pollution (MEC), while its private cost is $80. The MSC is $100.<\/p>\n\n\n\n<p>If the government imposes a tax of <strong>$100 (equal to MSC)<\/strong>, the factory would now face a cost of $180 ($80 MPC + $100 tax), which <strong>overcorrects<\/strong> the problem.<\/p>\n\n\n\n<p>The correct tax should be <strong>$20<\/strong>, equal to the <strong>MEC<\/strong>, raising the firm&#8217;s perceived cost to $100 ($80 MPC + $20 tax), which equals the MSC\u2014<strong>achieving efficiency<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The tax should equal the <strong>marginal external cost<\/strong>, <strong>not the total marginal social cost<\/strong>. Therefore, the statement is <strong>false<\/strong>.<\/p>\n\n\n\n<p> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>True or false:Suppose a firm imposes an external social cost and the government decides to impose a corrective tax. The tax should be exactly equal to the marginal social cost to ensure that the efficient level of output will be produced. The correct answer and explanation is: Correct Answer: False Explanation (Approx. 300 Words): The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-28489","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28489","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=28489"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28489\/revisions"}],"predecessor-version":[{"id":28490,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28489\/revisions\/28490"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28489"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}