A firm produces two products (A and B) jointly. Every time a unit of A is produced, a unit of B is also produced as a byproduct. The demand functions for A and B are: QA = 3000 - 20PA QB = 1000 - 10PB Assuming that disposal is costless, determine the number of units of A and B that the firm should produce, the number of units of A and B that the firm should sell, and the price that should be charged for each of the products if the firm's marginal cost of producing a unit of joint output is: (i) MC = 70 + 0.30Q (ii) MC = 10 + 0.04Q

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A firm produces two products (A and B) jointly. Every time a unit of A is produced, a unit of B is also produced as a byproduct. The demand functions for A and B are:

QA = 3000 - 20PA QB = 1000 - 10PB

Assuming that disposal is costless, determine the number of units of A and B that the firm should produce, the number of units of A and B that the firm should sell, and the price that should be charged for each of the products if the firm's marginal cost of producing a unit of joint output is:

(i) MC = 70 + 0.30Q

(ii) MC = 10 + 0.04Q

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