Question

In: Economics

An auto-service establishment has estimated its monthly cost function as follows: TC = 6000 + 10...

An auto-service establishment has estimated its monthly cost function as follows:
TC = 6000 + 10 Q
where Q is the number of cars it services each month and TC represents its total cost. The firm is targeting 35,000 net monthly profit servicing 2000 cars.
a. What price should the firm charge in order to realize the targeted profit?
b. What would be its (cost-based) markup ratio?
b2. Now suppose the demand curve the firm faces is: Q = 3000 - 50 P. Is the firm going to achieve its profit goal? Explain.
c. If your answer to (b) is "no", what would be the optimal markup ratio for this firm?

Solutions

Expert Solution


Related Solutions

A firm has estimated their demand curve and cost function to be. P=4000-2Q TC= 1,000,000 -...
A firm has estimated their demand curve and cost function to be. P=4000-2Q TC= 1,000,000 - 1500Q + 3.5Q2 a. Find the equation for Marginal Revenue (MR) as a function of Q. b. What price would a monopolist charge? c. Calculate the amount of economic profit she would make. d. Suppose that the monopolist was able to engage in first-degree price discrimination. What quantity would she be willing to produce? e. What is the range of prices that she would...
Your company has estimated its total cost to be TC = 54,000 + 2Q + 0.012Q2;...
Your company has estimated its total cost to be TC = 54,000 + 2Q + 0.012Q2; its marginal cost is thus MC = 2 + 0.024Q, where Q is the quantity of units produced and TC is in dollars. Since your market is relatively competitive, your company is able to sell its output for $122.00 each (which thus yields MR = 122 and TR = 122Q). a.   Produce a chart in Excel showing TC and TR with Q on the...
Your business has estimated its total cost to be TC = 3800 + 0.25Q + 0.0018Q2;...
Your business has estimated its total cost to be TC = 3800 + 0.25Q + 0.0018Q2; its marginal cost is thus MC = 0.25 + 0.0036Q, where Q is the amount of pieces provided and TC is in dollars. Because your market is moderately competitive, your business is capable of selling its output for $12.85 each (which therefore produces MR = 12.85 and TR = 12.85Q). a. Make a table in Excel showing TC and TR with Q on the...
A monopolist faces the following cost structure for its product: TC(Q) = 6000 + 300 Q...
A monopolist faces the following cost structure for its product: TC(Q) = 6000 + 300 Q + 5 Q2 MC(Q) = 300 + 10 Q It also faces the following demand function: QD = 180 – 0.2 P Determine the following: 1. Profit-maximizing price and quantity under uniform pricing. 2. Resulting mark-up over marginal cost and profits. 3. Price and quantity that would result from forcing the monopolist to produce the level of output that maximizes total surplus instead. 4....
The short-term total cost curve is as follows. TC=10+10Q^2
The short-term total cost curve is as follows. TC=10+10Q^2Lead short-term average cost curve (AC), average variable cost curve (AVC), and average fixed cost curve (AFC) into formulas, and draw pictures.
A monopolist faces the demand function Q = 20 – 2P. Its cost function is TC(Q)...
A monopolist faces the demand function Q = 20 – 2P. Its cost function is TC(Q) =0.5Q. Solve for the monopolist’s profit-maximizing price and output and calculate its profit as well as the consumer surplus and deadweight loss.
A firm operating in a perfectly competitive market has the following total cost function: TC=0.4Q2+40. Its...
A firm operating in a perfectly competitive market has the following total cost function: TC=0.4Q2+40. Its marginal cost function is given by: MC=0.8Q. There are 20 identical firms in the short-run in the market. In addition, the demand function is given by: Q=300-5P a) Find the Supply Function for the Firm in the short-run b) What is the equilibrium price and quantity in the market in the short-run? c) How much does each of the 20 firms produce in the...
Suppose a competitive firm has as its total cost function: TC=26+3q2 T C = 26 +...
Suppose a competitive firm has as its total cost function: TC=26+3q2 T C = 26 + 3 q 2 Suppose the firm's output can be sold (in integer units) at $61 per unit. Using calculus and formulas (don't just build a table in a spreadsheet as in the previous lesson), how many integer units should the firm produce to maximize profit? Please specify your answer as an integer. In the case of equal profit from rounding up and down for...
Suppose that a firm in a monopolistically competitive market has a cost function of TC= 100,000...
Suppose that a firm in a monopolistically competitive market has a cost function of TC= 100,000 + 20Q. What is the marginal cost function? If the price elasticity of demand is currently -1.5, what price should the firm charge? What is the marginal revenue at the price computed in part b)? If a competitor develops a substitute product and the price elasticity of demand increases to -3.0, what price should the firm now charge?
A firm produces a product in a competitive industry and has a total cost function TC...
A firm produces a product in a competitive industry and has a total cost function TC = 50 + 4Q +2Q² and MC = 4 + 4Q. At the given market price of $20, the firm is producing 5 units of output. Is the firm maximizing profit ? What quantity of output should the firm produce in the long run?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT