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In: Economics

the cost function for a firm with a Cobb-Douglas production function  y = x1ax2b   can be written as...

the cost function for a firm with a Cobb-Douglas production function  y = x1ax2b   can be written as c(y) = Ky1/(a+b).

a) Demonstrate that if  a+b < 1 the firm’s long-run average and marginal cost functions must be increasing in y.

b) Demonstrate that if  a+b = 1 the firm’s long-run average and marginal cost functions will not be increasing in y but instead will be constant.

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