Cookie Monster Inc. produces cookies using two inputs, cookie dough and chocolate chips. The firm’s production function is given
by Q(D,C) = D^2C, MPD = 2DC, MPC = D^2, where Q denotes the quantity of cookies per day, D the batches of cookie dough per day, and C the cups of chocolate chips per day. Assume that the price of a batch of cookie dough is $2 and the price of a cup of chocolate chips is $1.
a) How much dough and chocolate chips should the firm use to maximize pro- duction if it has a fixed budget of $900 to spend on production?
b) What is the maximum number of cookies it can produce with $900?
2. Cookie Monster Inc. produces cookies using two inputs, cookie dough and chocolate chips. The firm’s production function is given by Q(D,C)=DC, MPD =C, MPC =D, where Q denotes the quantity of cookies per day, D the batches of cookie dough per day, and C the cups of chocolate chips per day. Assume that the price of a batch of cookie dough is $1 and the price of a cup of chocolate chips is $3.
a) How much dough and chocolate chips should the firm use to produce 300 cookies at minimum cost?
b) What is the minimum cost of producing 300 cookies?
a) How much dough and chocolate chips should the firm use to maximize pro- duction if it has a fixed budget of $900 to spend on production?
b) What is the maximum number of cookies it can produce with $900?
2. Cookie Monster Inc. produces cookies using two inputs, cookie dough and chocolate chips. The firm’s production function is given by Q(D,C)=DC, MPD =C, MPC =D, where Q denotes the quantity of cookies per day, D the batches of cookie dough per day, and C the cups of chocolate chips per day. Assume that the price of a batch of cookie dough is $1 and the price of a cup of chocolate chips is $3.
a) How much dough and chocolate chips should the firm use to produce 300 cookies at minimum cost?
b) What is the minimum cost of producing 300 cookies?
1 answer:
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