Q2(a) A monopolist has a production function ?=?(?,?)=2∗(??)0.5 with ?=?=1 (input markets are competitive, as normal). For parts (a)-(c), she faces a single-price demand curve ?=5−?.
a. Construct the monopolist’s cost function and find marginal cost. (Hint: MC should be constant.)
2.
a.
We have production function:
Cost = wl + vk = l + k
Cost minimizing condition is:
MRTS = Input price ratio
gives: k = l
Using this in production function, we get:
Cost function can be calculated as:
Marginal cost is given as:
Have a nice day ahead!
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