t Bob’s Burgers, each burger consists of exactly two buns x, one meat patty y, and one slice of cheese z. Let P denote the price of burgers and px, py, pz be the prices of each input and consider Bob’s profit maximization problem. (a) Write Bob’s production function q = f(x, y, z), show that it exhibits constant returns to scale, and find the marginal products to each factor. (b) Set up Bob’s cost minimization problem, write the Lagrangian L, and show why you cannot use the first order conditions to solve it. (c) (10) Solve for Bob’s cost function C(q), and find the average cost A
t Bob’s Burgers, each burger consists of exactly two buns x, one meat patty y, and one slice of cheese z. Let P denote the price of burgers and px, py, pz be the prices of each input and consider Bob’s profit maximization problem. (a) Write Bob’s production function q = f(x, y, z), show that it exhibits constant returns to scale, and find the marginal products to each factor. (b) Set up Bob’s cost minimization problem, write the Lagrangian L, and show why you cannot use the first order conditions to solve it. (c) (10) Solve for Bob’s cost function C(q), and find the average cost A
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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At Bob’s Burgers, each burger consists of exactly two buns x, one meat patty y, and one slice of cheese z. Let P denote the price of burgers and px, py, pz be the prices of each input and consider Bob’s profit maximization problem.
(a) Write Bob’s production function q = f(x, y, z), show that it exhibits constant returns to scale, and find the marginal products to each factor.
(b) Set up Bob’s cost minimization problem, write the Lagrangian L, and show why you cannot use the first order conditions to solve it.
(c) (10) Solve for Bob’s cost function C(q), and find the average cost AC(q) and marginal cost MC(q) functions.
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