Assume a firm produces both gasoline and diesel fuel from crude oil at their refinery. Given the same inputs they can produce either gasoline y_1 or diesel y_2, both of which share the joint production function x = y_1^2y _2^2 1. Find the firm's total cost curve c(y_1, y_2)assuming the per unit price of crude oil is w = 52. Find the marginal cost curve for y_1 3. Suppose the price of y_1, p_1 = 30 and the price of y_2, p_2 = 10 and the per unit price of crude oil is w = 5, what is the optimal amount of y_1for the firm to produce?
Assume a firm produces both gasoline and diesel fuel from crude oil at their refinery. Given the same inputs they can produce either gasoline y_1 or diesel y_2, both of which share the joint production function x = y_1^2y _2^2 1. Find the firm's total cost curve c(y_1, y_2)assuming the per unit price of crude oil is w = 52. Find the marginal cost curve for y_1 3. Suppose the price of y_1, p_1 = 30 and the price of y_2, p_2 = 10 and the per unit price of crude oil is w = 5, what is the optimal amount of y_1for the firm to produce?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Assume a firm produces both gasoline and diesel fuel from crude oil at their
refinery. Given the same inputs they can produce either gasoline y_1 or
diesel y_2, both of which share the joint production function x = y_1^2y
_2^2 1. Find the firm's total cost curve c(y_1, y_2) assuming the per unit
price of crude oil is w = 52. Find the marginal cost curve for y_1 3.
Suppose the price of y_1, p_1 = 30 and the price of y_2, p_2 = 10 and the
per unit price of crude oil is w 5, what is the optimal amount of y_1for
the firm to produce?
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