{"id":9662,"date":"2022-04-13T23:39:14","date_gmt":"2022-04-13T23:39:14","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/?post_type=chapter&#038;p=9662"},"modified":"2024-09-11T16:43:29","modified_gmt":"2024-09-11T16:43:29","slug":"module-5-assignment-problem-set-elasticity","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/chapter\/module-5-assignment-problem-set-elasticity\/","title":{"raw":"Module 5 Assignment: Problem Set \u2014 Elasticity","rendered":"Module 5 Assignment: Problem Set \u2014 Elasticity"},"content":{"raw":"Click on the link to download the problem set for this module:\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Microeconomics\/Problem+Sets\/05+Elasticity.docx\" target=\"_blank\" rel=\"noopener\">Elasticity Problem Set.<\/a>\r\n<h2>Elasticity Problem Set<sup><a href=\"#_ftn1\"><strong>[1]<\/strong><\/a><\/sup><\/h2>\r\n<h3>Use the following information to answer questions 1 through 7:<\/h3>\r\nWhen the local grocery store puts cereal on sale, reducing its price from $4.40 per item to $3.40 per item, the quantity sold increases from 220 per week to 230 per week.\r\n<ol>\r\n \t<li>This illustrates the ________________ elasticity of _________________.<\/li>\r\n \t<li>What formula is used to determine the percentage change in quantity demanded?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"3\">\r\n \t<li>What is the percentage change in quantity demanded for the cereals described above?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"4\">\r\n \t<li>What formula is used to determine the percentage change in price?<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"5\">\r\n \t<li>Calculate the percentage change in price for the cereal.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"6\">\r\n \t<li>Finally, using the whole formula, calculate the value of the price elasticity of demand for cereal.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"7\">\r\n \t<li>Explain what this result means in words.<\/li>\r\n<\/ol>\r\n<h3>Use the following information to answer questions 8 and 9:<\/h3>\r\nSuppose that a store decreases the price of laundry detergent from $4.10 to $3.50. As a result, quantity demanded increases from 210 to 230.\r\n<ol start=\"8\">\r\n \t<li>Using the mid-point approach, calculate the percentage change in price.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"9\">\r\n \t<li>Using the mid-point elasticity approach, calculate price elasticity of demand. Your answer should be expressed in absolute value terms.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<h3>Use the following information to answer questions 10 and 11:<\/h3>\r\nConsider the following demand schedule for shoes.\r\n<table style=\"height: 90px;\">\r\n<tbody>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">Price<\/td>\r\n<td style=\"width: 266px; height: 10px;\">Quantity Demanded<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$5<\/td>\r\n<td style=\"width: 266px; height: 10px;\">385<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$10<\/td>\r\n<td style=\"width: 266px; height: 10px;\">365<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$15<\/td>\r\n<td style=\"width: 266px; height: 10px;\">345<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$20<\/td>\r\n<td style=\"width: 266px; height: 10px;\">325<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$25<\/td>\r\n<td style=\"width: 266px; height: 10px;\">305<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$30<\/td>\r\n<td style=\"width: 266px; height: 10px;\">285<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$35<\/td>\r\n<td style=\"width: 266px; height: 10px;\">265<\/td>\r\n<\/tr>\r\n<tr style=\"height: 10px;\">\r\n<td style=\"width: 153px; height: 10px;\">$40<\/td>\r\n<td style=\"width: 266px; height: 10px;\">245<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n<ol start=\"10\">\r\n \t<li>Suppose that the store increases the price of shoes from $25 to $30. Using the mid-point approach, calculate price elasticity of demanded.<\/li>\r\n<\/ol>\r\n<strong>\u00a0<\/strong>\r\n<ol start=\"11\">\r\n \t<li>Suppose that the store increases the price of shoes from $25 to $30. Based on this information, the demand curve would be classified as (select one):\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>inelastic<\/li>\r\n \t<li>elastic<\/li>\r\n \t<li>unit elastic<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"12\">\r\n \t<li>Suppose that when the price of laundry detergent decreases from $4.10 to $3.50, quantity supplied decreases from 260 to 180.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\nUsing the mid-point elasticity approach, calculate price elasticity of supply.<strong>\u00a0<\/strong>\r\n<ol start=\"13\">\r\n \t<li>Consider the following supply schedule for shoes.<\/li>\r\n<\/ol>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Price<\/td>\r\n<td>Quantity Supplied<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$5<\/td>\r\n<td>425<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$10<\/td>\r\n<td>445<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$15<\/td>\r\n<td>465<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$20<\/td>\r\n<td>485<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$25<\/td>\r\n<td>505<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$30<\/td>\r\n<td>525<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$35<\/td>\r\n<td>545<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>$40<\/td>\r\n<td>565<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nSuppose that the price of shoes increases from $25 to $30.\u00a0 Using the mid-point approach, calculate price elasticity of supply.\r\n<ol start=\"14\">\r\n \t<li>Suppose that when income increases from $2900 to $3250, quantity demanded changes from 210 to 270. Using the mid-point elasticity approach, calculate income elasticity.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"15\">\r\n \t<li>Suppose that the income increases from $2900 to $3250. As a result, quantity demanded changes from 210 to 270.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\nBased on this information you can tell that this product is (select one):\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>a complement<\/li>\r\n \t<li>normal<\/li>\r\n \t<li>a substitute<\/li>\r\n \t<li>inferior<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"16\">\r\n \t<li>Suppose that the price of one product increases from $11 to $42. As a result, quantity demanded for another product changes from 260 to 180.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\nBased on this information you can tell that these two products are (select one):\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>complements<\/li>\r\n \t<li>normal<\/li>\r\n \t<li>substitutes<\/li>\r\n \t<li>inferior<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<ol start=\"17\">\r\n \t<li>Suppose that when the store increases the price of laundry detergent from $2.50 to $3.90, quantity demanded decreased from 210 to 130.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<p style=\"padding-left: 30px;\">What is the change in total revenue as a result of this price change?\u00a0 Make sure to include a negative sign in your answer if necessary.<\/p>\r\n&nbsp;\r\n<ol start=\"18\">\r\n \t<li>Suppose that you know that the price elasticity of demand is 1.3. If we increase the price of the this product, then the total revenue will (select one):\r\n<ol style=\"list-style-type: lower-alpha;\">\r\n \t<li>increase<\/li>\r\n \t<li>remain unchanged<\/li>\r\n \t<li>decrease<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n&nbsp;\r\n<div>\r\n\r\n&nbsp;\r\n\r\n<hr \/>\r\n\r\n<a href=\"#_ftnref1\">[1]<\/a> This assignment by Lumen Learning is licensed under a Creative Commons Attribution 4.0 International License. You can access an alternative means to plotting points at <a href=\"https:\/\/www.desmos.com\/calculator\" target=\"_blank\" rel=\"noopener\">https:\/\/www.desmos.com\/calculator<\/a>.\r\n\r\n<\/div>","rendered":"<p>Click on the link to download the problem set for this module:\u00a0<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/oerfiles\/Microeconomics\/Problem+Sets\/05+Elasticity.docx\" target=\"_blank\" rel=\"noopener\">Elasticity Problem Set.<\/a><\/p>\n<h2>Elasticity Problem Set<sup><a href=\"#_ftn1\"><strong>[1]<\/strong><\/a><\/sup><\/h2>\n<h3>Use the following information to answer questions 1 through 7:<\/h3>\n<p>When the local grocery store puts cereal on sale, reducing its price from $4.40 per item to $3.40 per item, the quantity sold increases from 220 per week to 230 per week.<\/p>\n<ol>\n<li>This illustrates the ________________ elasticity of _________________.<\/li>\n<li>What formula is used to determine the percentage change in quantity demanded?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"3\">\n<li>What is the percentage change in quantity demanded for the cereals described above?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"4\">\n<li>What formula is used to determine the percentage change in price?<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"5\">\n<li>Calculate the percentage change in price for the cereal.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"6\">\n<li>Finally, using the whole formula, calculate the value of the price elasticity of demand for cereal.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"7\">\n<li>Explain what this result means in words.<\/li>\n<\/ol>\n<h3>Use the following information to answer questions 8 and 9:<\/h3>\n<p>Suppose that a store decreases the price of laundry detergent from $4.10 to $3.50. As a result, quantity demanded increases from 210 to 230.<\/p>\n<ol start=\"8\">\n<li>Using the mid-point approach, calculate the percentage change in price.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"9\">\n<li>Using the mid-point elasticity approach, calculate price elasticity of demand. Your answer should be expressed in absolute value terms.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<h3>Use the following information to answer questions 10 and 11:<\/h3>\n<p>Consider the following demand schedule for shoes.<\/p>\n<table style=\"height: 90px;\">\n<tbody>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">Price<\/td>\n<td style=\"width: 266px; height: 10px;\">Quantity Demanded<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$5<\/td>\n<td style=\"width: 266px; height: 10px;\">385<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$10<\/td>\n<td style=\"width: 266px; height: 10px;\">365<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$15<\/td>\n<td style=\"width: 266px; height: 10px;\">345<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$20<\/td>\n<td style=\"width: 266px; height: 10px;\">325<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$25<\/td>\n<td style=\"width: 266px; height: 10px;\">305<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$30<\/td>\n<td style=\"width: 266px; height: 10px;\">285<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$35<\/td>\n<td style=\"width: 266px; height: 10px;\">265<\/td>\n<\/tr>\n<tr style=\"height: 10px;\">\n<td style=\"width: 153px; height: 10px;\">$40<\/td>\n<td style=\"width: 266px; height: 10px;\">245<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<ol start=\"10\">\n<li>Suppose that the store increases the price of shoes from $25 to $30. Using the mid-point approach, calculate price elasticity of demanded.<\/li>\n<\/ol>\n<p><strong>\u00a0<\/strong><\/p>\n<ol start=\"11\">\n<li>Suppose that the store increases the price of shoes from $25 to $30. Based on this information, the demand curve would be classified as (select one):\n<ol style=\"list-style-type: lower-alpha;\">\n<li>inelastic<\/li>\n<li>elastic<\/li>\n<li>unit elastic<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"12\">\n<li>Suppose that when the price of laundry detergent decreases from $4.10 to $3.50, quantity supplied decreases from 260 to 180.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>Using the mid-point elasticity approach, calculate price elasticity of supply.<strong>\u00a0<\/strong><\/p>\n<ol start=\"13\">\n<li>Consider the following supply schedule for shoes.<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td>Price<\/td>\n<td>Quantity Supplied<\/td>\n<\/tr>\n<tr>\n<td>$5<\/td>\n<td>425<\/td>\n<\/tr>\n<tr>\n<td>$10<\/td>\n<td>445<\/td>\n<\/tr>\n<tr>\n<td>$15<\/td>\n<td>465<\/td>\n<\/tr>\n<tr>\n<td>$20<\/td>\n<td>485<\/td>\n<\/tr>\n<tr>\n<td>$25<\/td>\n<td>505<\/td>\n<\/tr>\n<tr>\n<td>$30<\/td>\n<td>525<\/td>\n<\/tr>\n<tr>\n<td>$35<\/td>\n<td>545<\/td>\n<\/tr>\n<tr>\n<td>$40<\/td>\n<td>565<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Suppose that the price of shoes increases from $25 to $30.\u00a0 Using the mid-point approach, calculate price elasticity of supply.<\/p>\n<ol start=\"14\">\n<li>Suppose that when income increases from $2900 to $3250, quantity demanded changes from 210 to 270. Using the mid-point elasticity approach, calculate income elasticity.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"15\">\n<li>Suppose that the income increases from $2900 to $3250. As a result, quantity demanded changes from 210 to 270.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>Based on this information you can tell that this product is (select one):<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>a complement<\/li>\n<li>normal<\/li>\n<li>a substitute<\/li>\n<li>inferior<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"16\">\n<li>Suppose that the price of one product increases from $11 to $42. As a result, quantity demanded for another product changes from 260 to 180.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>Based on this information you can tell that these two products are (select one):<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>complements<\/li>\n<li>normal<\/li>\n<li>substitutes<\/li>\n<li>inferior<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"17\">\n<li>Suppose that when the store increases the price of laundry detergent from $2.50 to $3.90, quantity demanded decreased from 210 to 130.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p style=\"padding-left: 30px;\">What is the change in total revenue as a result of this price change?\u00a0 Make sure to include a negative sign in your answer if necessary.<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"18\">\n<li>Suppose that you know that the price elasticity of demand is 1.3. If we increase the price of the this product, then the total revenue will (select one):\n<ol style=\"list-style-type: lower-alpha;\">\n<li>increase<\/li>\n<li>remain unchanged<\/li>\n<li>decrease<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<div>\n<p>&nbsp;<\/p>\n<hr \/>\n<p><a href=\"#_ftnref1\">[1]<\/a> This assignment by Lumen Learning is licensed under a Creative Commons Attribution 4.0 International License. You can access an alternative means to plotting points at <a href=\"https:\/\/www.desmos.com\/calculator\" target=\"_blank\" rel=\"noopener\">https:\/\/www.desmos.com\/calculator<\/a>.<\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-9662\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Elasticity Problem Set. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":428269,"menu_order":14,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Elasticity Problem Set\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-9662","chapter","type-chapter","status-publish","hentry"],"part":9619,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/pressbooks\/v2\/chapters\/9662","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/wp\/v2\/users\/428269"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/pressbooks\/v2\/chapters\/9662\/revisions"}],"predecessor-version":[{"id":9663,"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/pressbooks\/v2\/chapters\/9662\/revisions\/9663"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/pressbooks\/v2\/parts\/9619"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/pressbooks\/v2\/chapters\/9662\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/wp\/v2\/media?parent=9662"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/pressbooks\/v2\/chapter-type?post=9662"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/wp\/v2\/contributor?post=9662"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-microeconomics\/wp-json\/wp\/v2\/license?post=9662"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}