A monopolist faces the following demand curve, marginal revenue curve, total cost curve and

marginal cost curve for its product:

$Q=200-2P$

$MR=100-Q$

$TC=5Q$

$MC=5$

a$.$ What level of output maximizes total revenue?

b$.$ What is the profit maximizing level of output?

c$.$ What is the profit maximizing price?

d$.$ How much profit does the monopolist earn?

e$.$ Suppose that a tax of $$5$ for each unit produced is imposed by state government. What is the

profit maximizing level of output?

f$.$ Suppose that a tax of $$5$ for each unit produced is imposed by state government. What is the

profit maximizing price?

g$.$ Suppose that a tax of $$5$ for each unit produced is imposed by state government. How much profit

does the monopolist earn?

h$.$ Suppose that in addition to the tax, a business license is required to stay in business. The license

costs $$1000.$ What happens to profit? i$.$ Suppose that in addition to the tax, a business license is required to stay in business. The license

costs $$1000.$ What is the profit maximizing level of output?