A firm's short run total cost function is TC=0.75q² +8q + 300 The firm is monopolist and the inverse demand function for the product is p=201-2q a. Find the most profitable level of output and the profits at that output. b. When maximising profit, does the firm produce at minimum average cost? c. Find the breakeven points. d. Sketch the graphs of the inverse demand, marginal revenue and marginal cost functions with the same axes. e. Sketch the graphs of total cost and total revenue with the same axes. Sketch the graph of the profit function. Show the break-even points on both graphs.

An amusement park has identified its demand functions as follows: Q = 50-3P The marginal operating cost of each unit of quantity is $5 and there are no fixed costs. The park is a monopolist and exercises significant price making power in the market. 1. If the monopolist charges same price for every unit, for what price are his profits maximized? How many units will be sold at that price? What are his total profits?

Consider the following cost and demand information for a monopolist. Demand is Qm = 34 - 1*Qm,    Total Cost is TC = 20 + 2*Qm + .5*Qm2. At the profit-maximizing quantity, marginal revenue and marginal cost are equal to $........?

Question is in attached image. Thank you! Only answer D,E,F

Suppose the inverse demand function for a monopolist's product is given by P=100-2Q and the cost function isC(Q)=10+2Q. What is the firm's profit-maximizing maximum profits?A. $1,115B. $1,109C. $1,190.5D. $2,100.5

d. Suppose the government wants to move this market to the efficient quantity by imposing a per-unit subsidy in this market. Find the dollar amount per unit of output for this subsidy.

1. A monopolist's marginal cost function is given by: MC = 4q+ 20 where q is the quantity of good the monopolist produces. Fixed costs are 20, and the demand equation for the good produced is p+4q = 40, where p and q are price and quantity, respectively. - Find expressions for total revenue and for profit, as functions of q. Determine the value of q which maximises the profit. 2. Suppose the numbers x, y and z satisfy the following equations, where a is some number: x+y+z= 5-a 2x+y = 7-a x-y-2z = 0. Use a matrix method to determine the values of x, y and z, in terms of a. For what values of a will x, y and z all be positive? 3. Suppose that a is a positive number and that the function f is given by: f(x, y) = y¹ - 8a²y² +1

In the figure provided, a monopolist faces a market demand represented by Q(P), where is the total quantity demanded, and P is the price of the good. The figure also displays Marginal Cost (MC), Average Total Cost (ATC), Average Variable Cost (AVC), and Marginal Revenue (MR) curves. Additionally, P* and Q* represent the short-run equilibrium price and quantity, respectively. Q DMR MC AT C Avc P(Q) Based on the graphical representation, which of the following statements is true? The monopolist realizes a profit in the short run. The monopolist faces a loss in the short run and decides to shut down. The monopolist incurs a loss in the short run but decides to continue operating.

QUESTION 1 A. The total cost function for a monopolist is given by TC = 44,000 + 180Q + 0.03Q² and the demand function is P = 420 – 0.06Q per unit of output. i. What is the profit maximising level of output? ii. Calculate the profit maximizing price. iii. Calculate total profit at the profit maximising level of output.

Suppose a monopolist is currently producing where its variable costs are $1 million. Its fixed costs are $1.5 million. Its revenues are $1.2 million. Should the firm shut down in the short run? Should it leave the industry in the long run?   a no; yes b no; no c yes; yes d yes; no