please solve question 4- Prove that total revenue is maximized for a linear demand function, P = a - bQ point where Q = a / 2 * b .   - Minimize the following cost function:   TC = 1/3 * Q ^ 3 - 8.5Q ^ 2 + 60Q + 27

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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please solve question 4- Prove that total revenue is maximized for a linear demand function, P = a - bQ point where Q = a / 2 * b .

 

- Minimize the following cost function:

 

TC = 1/3 * Q ^ 3 - 8.5Q ^ 2 + 60Q + 27

3- Faced with two distinct demand functions
Qi = 24 - 0.2P,
Q2 = 10 – 0.05P2
Where TC 35+40Q, what price will the firm charge (a) with discrimination
(b) without discrimination
4- Prove that total revenue is maximized for a linear demand function, P = a -bQ, point
where Q = a/2b .
- Minimize the following cost function:
TC = 1/3Q' - 8.5Q² + 60Q+27
%3D
80=10-05P
P=lo-20
Transcribed Image Text:3- Faced with two distinct demand functions Qi = 24 - 0.2P, Q2 = 10 – 0.05P2 Where TC 35+40Q, what price will the firm charge (a) with discrimination (b) without discrimination 4- Prove that total revenue is maximized for a linear demand function, P = a -bQ, point where Q = a/2b . - Minimize the following cost function: TC = 1/3Q' - 8.5Q² + 60Q+27 %3D 80=10-05P P=lo-20
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