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.

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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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.
Transcribed Image Text: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.
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