Question

In: Economics

It is known that the company has a cost function ?? = 2?^3 3 - 15?^2...

It is known that the company has a cost function ?? = 2?^3
3 - 15?^2
2 + 60? and the company is
price takers on the market. Given the market demand function ? = 22 - 2? and the supply function
market ? = 2 + 2?.
A. Determine market prices in perfect competition.
b. Prove that the price at 3.a company produces at the lowest average price.
c. Use charts, illustrate what happens in the market if at the initial price 15.
What happens in the long run (consider constant costs)

the function is TC = 2Q^3 - 15Q^2 + 60Q

Solutions

Expert Solution

A) Market prices is in perfect competition so market price C = 2Q*3 +3-150*2=2Q3+240

q=238 units

Market price is the economic price for which a good or service is offered in the marketplace. It is of interest mainly in the study of microeconomics.Market price is for a particular time but normal price is for a period of time. Market price is the price prevailing on a particular day or a particular time. It is the result of market demand and supply. Normal price, on the other hand, is the result of long period demand and long period supply.

B) A company produces the average lower price and it maintains the proper market price for all the products available in the market .

In the broadest sense, an item's market price lies at the point of intersection between the available supply of the good or service and market demand for it. Any shift in the supply or demand affects an item's market price. If demand is held constant, a decline in supply results in a rise in its market price and vice versa. Likewise, if supply is held constant, a rise in the demand for an item results in a rise in its market price and vice versa.

C) TC=2Q*3-15Q*2+60Q =150*2+60*240=300+14400= rS 14700

constant-cost industry. An industry in which the ratio comparing units produced to production cost per unit remains the same regardless of industry volume or demand growth. This supply-curve equilibrium occurs when input costs do not increase in response to increased demand.


Related Solutions

1. Suppose a firm has the total cost function T C = 3/8Q^2 + 400 (a)...
1. Suppose a firm has the total cost function T C = 3/8Q^2 + 400 (a) Is this firm in the short run or long run? (b) Suppose this firm is facing a perfectly competitive market where the price is P = 24. What is the firm’s marginal revenue? (c) Write the firm’s profit function and solve for the profit-maximizing quantity of production Q∗ . (3 points) (d) How much profit does the firm make at the profit-maximizing level of...
Consider this table of values for a function: x f(x) -3 15 -2 2 -1 -5...
Consider this table of values for a function: x f(x) -3 15 -2 2 -1 -5 0 -3 1 4 2 8 3 -12 How many zeroes does this function appear to have? Where are those zeroes (give intervals of x-values). Use interval notation. Can you be guaranteed that those are the only zeroes? Why or why not? If I told you that the table represented a third degree (cubic) polynomial, is that enough to guarantee that those are the...
A competitive firm faces a market price of $15. The firm has a total cost function...
A competitive firm faces a market price of $15. The firm has a total cost function equal to TC(q) = 30 + 5q + q2 . What quantity does the firm produce? What are its profits? Will the firm shut down in the short run? Explain.
A firm has the total variable cost function: ??? = 2? + 2?^2 and total fixed...
A firm has the total variable cost function: ??? = 2? + 2?^2 and total fixed cost of $20. Suppose the market demand is: ? ? = 20 − ?. a. What are the firm’s profit maximizing output and price if it is a monopolist? How much is its profit at this output level? How much is consumer and producer surplus? (Hint: use a diagram to illustrate the market), b. Suppose the government implements a tax of $3 tax unit...
15-29 (OBJECTIVES 15-2, 15-3) Fastjet Airlines Limited is a low-cost airline. Fastjet commenced operations in November...
15-29 (OBJECTIVES 15-2, 15-3) Fastjet Airlines Limited is a low-cost airline. Fastjet commenced operations in November 2017 and is looking to expand both its customer base and destinations. In conducting your audit, you are unsure how Fastjet will be able to manage its credit issuance and collections. Select information from the company’s 2018 and 2019 annual reports is shown below (in thousands of US dollars): year ended 12/31/18 year ended 12/31/19 sales 26,117 53,759 not past due 164 0 0-60...
1. Sketch the graph of a function that has degree 3, and zeros at -2, +2,...
1. Sketch the graph of a function that has degree 3, and zeros at -2, +2, and +3. Is there only one possible graph? Explain. 2. Find the equation of a 3rd degree function that has a zero of order 3, a vertical stretch of -2, is translated 3 units to the right and 5 units up. (2,21) is a point on the function.
A monopolist firm has the following cost function: C(q)=0.5q^2 +10q+2 The (inverse) demand function for the...
A monopolist firm has the following cost function: C(q)=0.5q^2 +10q+2 The (inverse) demand function for the monopolist’s output is as follows: P(q) = 100 - q a. Assume that the monopolist must charge the same price for all units of output (i.e. the monopolist cannot price discriminate). How many units of output will the monopolist produce to maximize profits? At what price will this output be sold? Illustrate this outcome in a graph. b. How much profit does this monopolist...
The firm has the following marginal cost function: MC ( y ) = 3 +. 25...
The firm has the following marginal cost function: MC ( y ) = 3 +. 25 y what is the change in producer surplus when the price of y changes from $ 20 to $ 50. (Recall, the change in producer surplus is equal to the new producer surplus minus the old producer surplus).
1. Is this cost function a short-run or long-run cost function? ? = 1 3 ?...
1. Is this cost function a short-run or long-run cost function? ? = 1 3 ? 3 − ? 2 + 2? + 90 a. Short-run b. Long-run c. There is information to answer question _____ 2. The ______illustrates the various combinations of L and K that can produce the same level of output. a. Isoquant b. Isocost c. Expansion path _____ 3. For a cost-minimizing firm that chooses the optimal level of L and K, it will always choose...
Production Function:   Labor (L) 1 3 6 10 15 Total Product (Q) 1 2 3 4...
Production Function:   Labor (L) 1 3 6 10 15 Total Product (Q) 1 2 3 4 5 1. Using the data in the table above, compute the marginal product using the definition given earlier in this module. Draw a graph of the marginal product curve using the numbers you computed. Suppose this firm can hire workers at a wage rate of $10 per hour to work in its factory which has a rental cost of $100. Use the data in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT