Problem Set C 1. Digicel's profit function for the sale of S21 is as follows: л(q) = −2q² + 350q - 150 The selling price per S21 is given by the function: p = 600 - 2q Where q represents the number of S21 (in thousands), cost and revenue are in thousand of dollars. Using the information provided above, determine the following: a. Total Cost function. b. Marginal Cost (MC) when 4000 S21 are produced. c. Give an interpretation of your answer from Part b. above. d. The number of S21 that must be sold for Digicel to make a Marginal Revenue (MR) of $300,000.00. e. At what level of quantity will the firm maximize its profit. 2. Differentiate the following: a. q(p) = 3e³ − 2p¯³¹³ - b. y = ln (5p¯² — √√p) 3. Given Flow's Total Cost function: TC(x) = 2x366x² + 576x + 1000 Use the first and second derivative principles to determine the level of output (in thousand) at which the firm's cost is minimized. 5

Problem Set C 1. Digicel's profit function for the sale of S21 is as follows: л(q) = −2q² + 350q - 150 The selling price per S21 is given by the function: p = 600 - 2q Where q represents the number of S21 (in thousands), cost and revenue are in thousand of dollars. Using the information provided above, determine the following: a. Total Cost function. b. Marginal Cost (MC) when 4000 S21 are produced. c. Give an interpretation of your answer from Part b. above. d. The number of S21 that must be sold for Digicel to make a Marginal Revenue (MR) of $300,000.00. e. At what level of quantity will the firm maximize its profit. 2. Differentiate the following: a. q(p) = 3e³ − 2p¯³¹³ - b. y = ln (5p¯² — √√p) 3. Given Flow's Total Cost function: TC(x) = 2x366x² + 576x + 1000 Use the first and second derivative principles to determine the level of output (in thousand) at which the firm's cost is minimized. 5

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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