A company has two wings producing two products - Product 1 and Product 2. P and P2 are price per unit for Product 1 and Product 2 respectively. Similarly, qı and q2 are the respective amount of units produced for Product 1 and Product 2. P and P2 are related to qı and q2 by the equations P = 155q2 + 26q3 – q792, P2 = 295q1 + 18q – 9591- The total cost of production for the company is given by, C = 100q192- The total relative profit is R =total profit/total cost, where total profit =total revenue – total cost; and total revenue = ( Price per unit of product 1* quantity of product 1) + (Price per unit of product 2 * quantity of product 2) a. Find the relative profit Ras a function of q and q2 and simplify the expression. b. Given that the company produces q units of Product 1 what amount of units q of Product 2 will maximize the total relative profit Rfor the company. 1will meximize tbe tetal rolativo profit Rfor the

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Chapter1: Making Economics Decisions
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A company has two wings producing two products - Product 1 and Product 2 . P1 and P2 are price per unit for Product 1 and Product 2
respectively. Similarly, q1 and q2 are the respective amount of units produced for Product 1 and Product 2. Pj and P2 are related to qı and q2 by
the equations
P = 155q2 + 26q – q?92,
P2 = 295q1 + 18q{ – 9ź91-
The total cost of production for the company is given by,
C = 100q142.
The total relative profit is R =total profit/total cost , where total profit =total revenue – total cost; and total revenue = ( Price per unit of product
1* quantity of product 1) + (Price per unit of product 2 * quantity of product 2)
a. Find the relative profit Ras a function of q1 and q2 and simplify the expression.
b. Given that the company produces q1 units of Product 1 what amount of units q; of Product 2 will maximize the total relative profit Rfor the
company.
c. Given that the company produces q2 units of Product 2 what amour
of
hits q
Product 1 will maximize the total relative profit Rfor the
company.
Transcribed Image Text:A company has two wings producing two products - Product 1 and Product 2 . P1 and P2 are price per unit for Product 1 and Product 2 respectively. Similarly, q1 and q2 are the respective amount of units produced for Product 1 and Product 2. Pj and P2 are related to qı and q2 by the equations P = 155q2 + 26q – q?92, P2 = 295q1 + 18q{ – 9ź91- The total cost of production for the company is given by, C = 100q142. The total relative profit is R =total profit/total cost , where total profit =total revenue – total cost; and total revenue = ( Price per unit of product 1* quantity of product 1) + (Price per unit of product 2 * quantity of product 2) a. Find the relative profit Ras a function of q1 and q2 and simplify the expression. b. Given that the company produces q1 units of Product 1 what amount of units q; of Product 2 will maximize the total relative profit Rfor the company. c. Given that the company produces q2 units of Product 2 what amour of hits q Product 1 will maximize the total relative profit Rfor the company.
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