I need answer of second part and only handwritten otherwise i will dislike ne demand function for a company is p = 200 - 3r and the cost function is given by C(r) =0+ 80x - r. Determine the value of r and the corresponding price that will maximize the profit.Revenue (RX))= x(demand function)Now Demand P= 200- 3xP'(x): 00=メナ-oelX 30C(x) = 75+80 x-x2R(x) = x•P= 200x -3x2Profit = R(x) - Cl(x)p"(x) = -4So, X = 30 P: 200-3(30)So at P= 11oProfit will be Maximum%3D=(20ox - 3x2)-(75+80x-x)Profit = 120x -2x2-75- Rework the problem above adding a government tax of $4 per unit to the cost of production.C(X)=75+80x -x2C(x) = 75 + 80x +4x-x2

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ie demand function for a company is p = 200 - 31 and the cost function is given by C(z) U+ 80z - z. Determine the value of z and the corresponding price that will maximize the profit. Revenue (RX))= x(demand function) Now Demond P: a00- 3x P'(x): 0 120-4x =0 X= 30 C(x) = 75+80x-x2 R(x) = x-p= 200x -3x2 Profit = R(x) -C(x) (200x-3x)-(75+80x-x2) p"(x) = -4 So, X = 30 → P: 200-3(30) So at P= 110 Profit Will be Maximum %3D %3D Profit = 120x - 2x2-75 %3D 2. Rework the problem above adding a government tax of $4 per unit to the cost of production. C(X)= 75+80x-x C(x) =75+ 80Ox +4x-x2

ie demand function for a company is p = 200 - 31 and the cost function is given by C(z) U+ 80z - z. Determine the value of z and the corresponding price that will maximize the profit. Revenue (RX))= x(demand function) Now Demond P: a00- 3x P'(x): 0 120-4x =0 X= 30 C(x) = 75+80x-x2 R(x) = x-p= 200x -3x2 Profit = R(x) -C(x) (200x-3x)-(75+80x-x2) p"(x) = -4 So, X = 30 → P: 200-3(30) So at P= 110 Profit Will be Maximum %3D %3D Profit = 120x - 2x2-75 %3D 2. Rework the problem above adding a government tax of $4 per unit to the cost of production. C(X)= 75+80x-x C(x) =75+ 80Ox +4x-x2

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.2P

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