2. Derive the profit function 7(D) and find the quantity of the output that maximizes the profit for eachof the following cases:a) p= 101 – 2D and TC = 10 + D for 0 < D< 40b) p = (D – 10)? and TC = 10 + 7D for 0< D< 10c) p = 100e-D and TC = 1+ 50e-D x D for D 20d) p = 5 – VD and TC = 1+ log D for 1 < D< 25e) p = 5+ (D/40)-3/2 and TC = 10 + D/40 for 1< D< 40%3D3. Find the range of profitable output for case a) and b) in Problem 2 when the output is not divisible.

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Answered: Derive the profit function 7(D) and…

Derive the profit function 7(D) and find the quantity of the output that maximizes the profit for each of the following cases: a) p= 101 – 2D and TC = 10 + D for 0

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 37CR

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Question

2. Derive the profit function 7(D) and find the quantity of the output that maximizes the profit for each
of the following cases:
a) p= 101 – 2D and TC = 10 + D for 0 < D< 40
b) p = (D – 10)? and TC = 10 + 7D for 0< D< 10
c) p = 100e-D and TC = 1+ 50e-D x D for D 20
d) p = 5 – VD and TC = 1+ log D for 1 < D< 25
e) p = 5+ (D/40)-3/2 and TC = 10 + D/40 for 1< D< 40
%3D
3. Find the range of profitable output for case a) and b) in Problem 2 when the output is not divisible.

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