A monopolist faces the inverse demand function described by p = 100-2q, where q is output. The monopolist has no fixed cost and his marginal cost is $20 at all levels of output. What is the monopolist's profit as a function of his output?

Answer
Option 3
the marginal cost is constant and there is no fixed cost so the
average total cost is equal to marginal cost
total cost =ATC*q=20q
Total revenue =P*q

Profit=TR-TC
Profit function is

A monopolist faces the inverse demand function described by p = 100-2q
A monopolist faces the inverse demand function described by p = 100=2q, where q is output. The monopolist has no fixed cost and his marginal cost is $20 at all levels of output. What is the level of output that will maximize monopolist's profit?
A monopolist faces inverse market demand of P = 140- TC(Q) = 20° + 10Q + 200. and has Total Cost given by (20 points) Find this monopolist's profit maximizing output level. Find this monopolist's profit maximizing price How much profit is this monopolist earning?
Q3: A monopolist faces the demand P=180-2Q and has costs described by the function C(Q)= 200+Q^2. The monopolist charges a single price. Given the information, determine the profit-maximizing output, price, and the maximization profit level.
Please answer me in detail. Thank you.
Question 9 Suppose that a monopolist faces a demand curve given by P 120-2Q. A monopolist producing only one product has two plants with the following marginal cost functions: MC1 20+2Q1 and MC2-10+502, where MCi and MC2 are the marginal costs in plants 1 and 2, and Q1 and Q2 are the levels of output in each plant, respectively. (a) Find the monopolist's optimal total output (quantity) and price. b) Find the optimal...
Questions 7 - 9 use the following information: A monopolist faces inverse market demand of P = 230 – , and has Total Cost given by TC(Q) = 5Q2 + 10Q + 1000. 7. (20 points) Find this monopolist's profit maximizing output level. 8. Find this monopolist's profit maximizing price. 9. How much profit is this monopolist earning?
Suppose that a monopoly faces inverse market demand function as P = 70−2Q, and its marginal cost function is MC = 40 – Q. Please answer the following two questions: a. What should be the monopoly’s profit-maximizing output? b. What is the monopoly’s price?
5. A monopolist faces a demand curve P = 60 – 2Q and initially faces a constant marginal cost MC = 4. (a) Calculate the profit-maximizing monopoly quantity and price, and compute the monopolist's total rev- enue and profits at the optimal price. (b) Suppose that the monopolist's marginal cost in- creases to MC = 8. Verify that the monopolist's total revenue goes down. (c) Suppose that all firms in a perfectly competitive equilibrium had a constant marginal cost MC...
1. Suppose that a single-price monopolist faces the demand function P 100 Q where I is average weekly household income, and that the firm's marginal cost function is given by MC(Q) 2Q. The firm has no fixed costs. = (a) If the average weekly household income is $600, find the firm's marginal revenue function. (b) What is the firm's profit-maximizing quantity of output? At what price will the firm sell that output? What will the firm's marginal cost be? (c)...
4. A monopolist faces a market demand defined by P 20. There are no fixed costs. 100 (1/5)Q. Her marginal cost is given by MC (a) Graph the market demand, the marginal revenue curve and the marginal cost curve, labeling the intercepts. (5 marks) (b) Calculate the monopolist's profit-maximizing price, output and profit. (5 marks) (c) Suppose that this market can now be divided into two separate markets and the supplier can discriminate between them. The demand curves are given...
a monopolist has a total cost function TC= 5Q^2- 2Q+ 100. the inverse demand function for the monopolist is P= 10 - Q. what is the optimal price for the monopolist. a. 6 b.7 c.8 d.9