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Please show mathematical and any other additional information if you can. The following is the inverse...

Please show mathematical and any other additional information if you can.

The following is the inverse demand for shirts: P = 100 − 2(q1 + q2), where q1 is the output of the incumbent firm and q2 is the output of the entrant.
Let both the labor cost and capital cost per unit be 30, i.e., w = r = 20. For firm 1, if output is > K, MC = 40 and MC = 40 for entrant regardless.
In addition, let each firm have a fixed cost of F1 = F2 = 100.
a)Suppose the incumbent firm invests in capacity K1 show the incumbent’s response function if output is less than K1 and when output is greater than K1
b)Show the entrant’s best response function in stage 2.
c)If the incumbent commits to output K = 15, calculate the total output for both firms and profit for each firm.
d)Supposing incumbent commits to an output K = 17 units as output in stage 1, will the entrant enter the market? Should the incumbent make this decision?

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