Pricing in one market depends

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A firm makes two products, x and y. Inverse demand for each shows that pricing in one market depends on sales in the other according to the equation:

Px=500−10x−1.5y and Py=250−2.5y−x

The firm faces the total cost as follows: TC=6000+100x+50y

a. What bundle of products (x , y ) should the firm produce?

b. What prices will the firm be able to charge for each product give production at (x,y)?

c. What profits result in this instance?

d. At (x∗ ,y∗ ), what are the values of dTRydx and dTRxdy ? Provide a short (one- or twosentence) explanation of each value.

 

Reference no: EM13912316

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