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- The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer’s inverse demand for your bran muffins is now P = 8 – 1.5Q. If your cost of producing bran muffins is C(Q) = 0.5Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer’s inverse demand for your bran muffins is now P = 5 - 0.5Q.If your cost of producing bran muffins is C(Q) = 1.5Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.Instruction: Enter your response for the optimal package price rounded to two decimal places.Optimal package size: units Optimal package price: $The American Baker’s Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer’s inverse demand for your bran muffins is now P = 3 − 0.5Q.If your cost of producing bran muffins is C(Q) = 1.0Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price.Instructions: Enter your response for the optimal package price rounded to two decimal places.Optimal package size: units Optimal package price: $
- You are a manager in charge of monitoring cash flow at a major publisher. Paper books comprise 40 percent of your revenues, which grow about 2 percent annually. You recently received a preliminary report that suggests the growth rate in ebook readings has leveled off, and that the cross-price elasticity of demand between paper books and ebooks is -0.3. In 2016, your company earned about $600 million from sales of ebooks and about $400 million from sales of paper books. If the own price elasticity of demand for paper books is -2, how will a 4 percent decrease in the price of paper books affect your overall revenues from both paper books and ebooks sales? (Enter your response rounded to one decimal place.) Your overall reveues will change by $____ million.You are a manager in charge of monitoring cash flow at a major publisher. Paper books comprise 40 percent of your revenues, which grow about 2 percent annually. You recently received a preliminary report that suggests the growth rate in ebook reading has leveled off and that the cross-price elasticity of demand between paper books and ebooks is –0.3. In 2016, your company earned about $600 million from sales of ebooks and about $400 million from sales of paper books. If the own price elasticity of demand for paper books is –2, how will a 4 percent decrease in the price of paper books affect your overall revenues from both paper book and ebook sales?You are a manager in charge of monitoring cash flow at a major publisher. Paper books comprise 40 percent of your revenues, which grow about 2 percent annually. You recently received a preliminary report that suggests the growth rate in ebook reading has leveled off, and that the cross-price elasticity of demand between paper books and ebooks is −0.3. In 2019, your company earned about $600 million from sales of ebooks and about $400 million from sales of paper books. If your data analytics team estimates the own price elasticity of demand for paper books is −2, how will a 4 percent decrease in the price of paper books affect your overall revenues from both paper books and ebooks sales? Instruction: Enter your response rounded to one decimal place. Your overall revenues will change by $
- You are a manager in charge of monitoring cash flow at a major publisher. Paper books comprise 50 percent of your revenues, which grow about 2 percent annually. You recently received a preliminary report that suggests the growth rate in ebook reading has leveled off, and that the cross-price elasticity of demand between paper books and ebooks is −0.4. In 2019, your company earned about $500 million from sales of ebooks and about $500 million from sales of paper books. If your data analytics team estimates the own price elasticity of demand for paper books is −3, how will a 2 percent decrease in the price of paper books affect your overall revenues from both paper books and ebooks sales? Instructions: Enter your response rounded to one decimal place. Your overall revenues will change by $_______ million.You are the manager of a firm that receives revenues of $40,000 per year from product X and $80,000 per year from product Y. The own price elasticity of demand for product X is −1.5, and the cross-price elasticity of demand between product Y and X is −1.8.How much will your firm's total revenues (revenues from both products) change if you increase the price of good X by 1 percent?The demand for an economics textbook is given by: Q = 796 - 3p^2 Find the value of Q1 when demand is unit elastic and hence calculate the new price (rounded to two decimal positions) needed to increase Q by 100 units from the Q1 value. Note: Express the new price with two decimal positions (avoid intermediate roundings in the calculation process).
- Market researchers estimate that the annual demand for ice cream in Gotham city is: qi = (200,000Pp1/4)/ (Pi3/2Pb1/2) where qi is the quantity demanded for ice cream in scoops, Pp is the price serving of pudding, Pb is the price per serving of brownies, and Pi is the price per scoop of ice cream. a. What does the cross-price elasticity of demand equal between ice cream and brownies? b. What type of commodities are ice cream and brownies?Julia has usual preferences over X and Y, and, at current prices and income, she spends 1/2 of her income on X. Her demands for both goods respond to changes in her income, but at current prices and income the income elasticity of her demand for Y is equal to exactly 1/3 times the value of her income elasticity of demand for X. And do you know what? If the price of Y were to go up by 1 percent, the quantity of X she demands would remain unchanged. a. If the price of X were to fall, would her demand for X increase, decrease or remain unchanged? More precisely, what is the own-price elasticity of her demand for X? b. If her income were to rise, would her demand for X rise, fall or remain unchanged? More precisely, what is the income elasticity of her demand for X?Lorena likes to play golf. The number of times per year that she plays depends on both the price of playing a round of golf as well as Lorena’s income and the cost of other types of entertainment—in particular, how much it costs to go see a movie instead of playing golf. The three demand schedules in the table below show how many rounds of golf per year Lorena will demand at each price under three different scenarios. In scenario D1, Lorena’s income is $50,000 per year and movies cost $9 each. In scenario D2, Lorena’s income is also $50,000 per year, but the price of seeing a movie rises to $11. And in scenario D3, Lorena’s income goes up to $70,000 per year, while movies cost $11. a. Using the data under D1 and D2, calculate the cross-elasticity of Lorena’s demand for golf at all three prices. (To do this, apply the midpoints approach to the cross-elasticity of demand.) Is the cross-elasticity the same at all three prices? Are movies and golf substitute goods, complementary goods, or…