{"id":192126,"date":"2025-02-17T10:06:11","date_gmt":"2025-02-17T10:06:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=192126"},"modified":"2025-02-17T10:06:15","modified_gmt":"2025-02-17T10:06:15","slug":"using-the-midpoint-method-your-price-elasticity-of-demand-as-the-price-of-pizzas-increases-from-10-to-12-is-if-your-income-is-20000-and-if-your-income-is-24000","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/17\/using-the-midpoint-method-your-price-elasticity-of-demand-as-the-price-of-pizzas-increases-from-10-to-12-is-if-your-income-is-20000-and-if-your-income-is-24000\/","title":{"rendered":"Using the midpoint method, your price elasticity of demand as the price of pizzas increases from $10 to $12 is if your income is $20,000 and if your income is $24,000"},"content":{"rendered":"\n<p>Using the midpoint method, your price elasticity of demand as the price of pizzas increases from $10 to $12 is if your income is $20,000 and if your income is $24,000.If the price of a pizza is $12, your income elasticity of demand is as your income increases from $20,000 to $24,000. However, if the price of a pizza is $16, your income elasticity is .<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate the price elasticity of demand (PED) and income elasticity of demand (YED), we will first use the <strong>midpoint method<\/strong>, which is useful for calculating elasticity over a range of prices and incomes. The formulas for these two elasticities are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Price Elasticity of Demand (PED):<\/strong><br>[<br>PED = \\frac{\\text{Percentage change in quantity demanded}}{\\text{Percentage change in price}} = \\frac{\\left(\\frac{Q_2 &#8211; Q_1}{(Q_2 + Q_1)\/2}\\right)}{\\left(\\frac{P_2 &#8211; P_1}{(P_2 + P_1)\/2}\\right)}<br>]<\/li>\n\n\n\n<li><strong>Income Elasticity of Demand (YED):<\/strong><br>[<br>YED = \\frac{\\text{Percentage change in quantity demanded}}{\\text{Percentage change in income}} = \\frac{\\left(\\frac{Q_2 &#8211; Q_1}{(Q_2 + Q_1)\/2}\\right)}{\\left(\\frac{I_2 &#8211; I_1}{(I_2 + I_1)\/2}\\right)}<br>]<\/li>\n<\/ol>\n\n\n\n<p>Given the price increase from $10 to $12, we can proceed with the formula for PED:<\/p>\n\n\n\n<p>Let&#8217;s assume that the quantity demanded changes with the change in price, and we will calculate the <strong>PED<\/strong> assuming that the percentage changes in quantity are based on the price change.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Case 1: <strong>Price Elasticity of Demand (PED)<\/strong> when income is $20,000<\/h3>\n\n\n\n<p>Using the midpoint formula, assuming that the demand decreases by a certain percentage with the price change from $10 to $12, we can estimate the PED.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Case 2: <strong>Price Elasticity of Demand (PED)<\/strong> when income is $24,000<\/h3>\n\n\n\n<p>Similarly, for a $10 to $12 price change, we can apply the midpoint method to calculate PED for a higher income.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Income Elasticity of Demand (YED)<\/h3>\n\n\n\n<p>When the price of a pizza is $12, if income increases from $20,000 to $24,000, we calculate the income elasticity using the midpoint formula for income. Similarly, if the price increases to $16, we can apply the same method to get the YED.<\/p>\n\n\n\n<p>Let&#8217;s assume, for illustration, that the quantity of pizzas demanded changes by 10% in the first case and 12% in the second case with price and income changes.<\/p>\n\n\n\n<p>I will now generate an image of the formulas and calculations for better understanding.<\/p>\n\n\n\n<p>The image above illustrates the formulas for calculating <strong>Price Elasticity of Demand (PED)<\/strong> and <strong>Income Elasticity of Demand (YED)<\/strong>, as well as examples of how the calculations would work in this context.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Price Elasticity of Demand (PED):<\/strong><\/li>\n\n\n\n<li>When the price of pizzas increases from $10 to $12, the change in demand due to this price increase can be calculated using the midpoint formula. Let\u2019s assume the quantity demanded decreases by 10% as a result.<\/li>\n\n\n\n<li>The PED will help to show how sensitive the demand for pizzas is to the change in price.<\/li>\n\n\n\n<li><strong>Income Elasticity of Demand (YED):<\/strong><\/li>\n\n\n\n<li>When the price of a pizza is $12 and income increases from $20,000 to $24,000, the midpoint method can be applied to calculate the <strong>YED<\/strong>. Here, if demand increases by 8% due to the income change, it shows how responsive the demand for pizzas is to changes in income.<\/li>\n\n\n\n<li>The second case of <strong>YED<\/strong> when the price is $16, assuming similar demand changes, can also be calculated by applying the same formula.<\/li>\n<\/ul>\n\n\n\n<p>This method gives you an understanding of how both price and income affect the demand for pizzas.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Using the midpoint method, your price elasticity of demand as the price of pizzas increases from $10 to $12 is if your income is $20,000 and if your income is $24,000.If the price of a pizza is $12, your income elasticity of demand is as your income increases from $20,000 to $24,000. However, if the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-192126","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/192126","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=192126"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/192126\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=192126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=192126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=192126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}