5 Calculus Questions

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1. -15 points WaneFMAC7 12.6.001. My Notes Ask Your Teache The weekly sales of Honolulu Red Oranges is given by q = 1134 – 18p. Calculate the price elasticity of demand when the price is $28 per orange (yes, $28 per oranget). HINT [See Example 1.] Interpret your answer. The demand is going ? by % per 1% increase in price at that price level. Also, calculate the price that gives a maximum weekly revenue. $ Find this maximum revenue. $ Need Help? Read It 2. My Notes Ask Your Teache -15 points WaneFMAC7 12.6.007. The consumer demand equation for tissues is given by q = (101 - p)2, where p is the price per case of tissues and q is the demand in weekly sales. (a) Determine the price elasticity of demand E when the price is set at $28. (Round your answer to three decimal places.) E = Interpret your answer. The demand is going ? by % per 1% increase in price at that price level. (b) At what price should tissues be sold to maximize the revenue? (Round your answer to the nearest cent.) $ (C) Approximately how many cases of tissues would be demanded at that price? (Round your answer to the nearest whole number.) cases per week Need Help? Read It 3. -/3 points WaneFMAC7 12.6.010. My Notes Ask Your Teacher The demand curve for original Iguanawoman comics is given by (472 – p)2 9 = (0 sps 472) 100 where q is the number of copies the publisher can sell per week if it sets the price at $p. (a) Find the price elasticity of demand when the price is set at $40 per copy. (Round your answer to two decimal places.) (b) Find the price at which the publisher should sell the books to maximize weekly revenue. (Round your answer to the nearest cent.) $ (c) What, to the nearest $1, is the maximum weekly revenue the publisher can realize from sales of Iguanawoman comics? $ Need Help? Read It 4. -/2 points WaneFMAC7 12.6.017. My Notes Ask Your Teacher A general linear demand function has the form q = mp + b (m and b constants, m = 0). (a) Obtain a formula for the price elasticity E of demand at a unit price of p. E = (b) Obtain a formula for the price p that maximizes revenue. p = Need Help? Read It 5. -/2 points WaneFMAC7 12.6.018. = A general exponential demand function has the form a Ae-bp (A and b nonzero constants). (a) Obtain a formula for the price elasticity E of demand at a unit price of p. E = (b) Obtain a formula for the price p that maximizes revenue. p = Need Help? Read It
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