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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

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
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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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.
Transcribed Image Text: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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