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Determining Profit Maximizing Price and Output Level

In a pure monopoly the company faces an inverse demand
(price) for their product.

p = 20-0.04q1

marginal revenue is r= 20- 0.08q1

and marginal cost is mc1= 0.1+ 0.5q1

total costs is TC1= 5 + 0.1q + 0.25q1(squared)

what is profit maximising level for

a) price

b) quantity

c) monopoly profit

If the company wants to produce some of the same product
offshore with cheaper labour costs how much production should be undertaken in
each factory to maximise total firm profit. Assume transport costs are the
same.

and for another factory is m2= 0.1 + 0.3q2

Total costs for another factory are TC1=2 + 0.1q2 +
0.15q2(squared)

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