Question

In: Economics

Assume a perfectly competitive firms cost structure is given by the table above, and that the market price in this industry is $58.

Quantity

Total Cost

0

100

1

102

2

116

3

154

4

228

5

350

6

532

7

786

8

1124

Use the table above to answer the following question.

Assume a perfectly competitive firms cost structure is given by the table above, and that the market price in this industry is $58. If the firm is profit maximizing, how much should they produce?

Solutions

Expert Solution

It shall be noted that the market structure is Perfect competition.

The equilibrium in perfect comeptition is given by: P = MC, for profit maximization

As long as P > MC, the perfectly competitive firm should increase the production, but as soon as P < MC, it should stop the production.

The data as provided is as follows:

Quantity Total Cost P MC
0 100 58 -
1 102 58 2
2 116 58 14
3 154 58 38
4 228 58 74
5 350 58 122
6 532 58 182
7 786 58 254
8 1124 58 338

The marginal cost (MC) is the change in total cost with the increase in production of output by 1 unit.

Thus, marginal cost MC column has been provided.

It shall be observed that at Quantity = 3, MC = 38 and P = 58 and thus, P > MC

But as soon as Quantity = 4, MC = 74, which is higher than P=58

Thus, the firm shopuld not produce Quantity=4

Hence, the perfectly comeptitive firm should produce Quantity = 3

Thus, equilibrium profit maximizing Quantity is 3

Thus, the firm should produce 3 units of output


Related Solutions

In a perfectly competitive market structure, a competitive firm has the given price as a price...
In a perfectly competitive market structure, a competitive firm has the given price as a price taker and, therefore, its price is equal to its MR shown on the same demand curve as the perfectly elastic demand curve. On the other hand, a monopoly firm has a downward sloping demand curve and its equilibrium price is always larger than MR (P>MR). Briefly explain why? Use both equation and diagram.
In the long run in a perfectly competitive industry, price equals marginal cost and firms earn...
In the long run in a perfectly competitive industry, price equals marginal cost and firms earn no economic profits. The following two equations describe this long-run situation for prices and costs, where the numbers indicate the amounts of each input (labor and land) needed to produce a unit of each product (wheat and cloth): P wheat = 60w + 40r P cloth = 75w + 25r If the price of wheat is initially 100 and the price of cloth is...
3. In the long run in a perfectly competitive industry, price equals marginal cost and firms...
3. In the long run in a perfectly competitive industry, price equals marginal cost and firms earn no economic profits. The following two equations describe this long-run situation for prices and costs, where the numbers indicate the amounts of each input (labor and land) needed to produce a unit of each product (wheat and cloth): P wheat = 60w + 40r P cloth = 75w + 25r If the price of wheat is initially 100 and the price of cloth...
The table above shows a perfectly competitive firm's widget production and cost schedule. Suppose that the prevailing market price is $6.
Quantity (Q)Total Cost (TC)Average Total Cost (ATC)Marginal Cost (MC)0$9----1$102$123$154$195$246$307$49The table above shows a perfectly competitive firm's widget production and cost schedule. Suppose that the prevailing market price is $6.(a) Fill in the blanks of the table above.(b) Find the profit-maximizing quantity using the condition MR = MC.(c) Calculate the maximum profit using the following formula: Profit =(P − ATC)×Q
compared with firms in a perfectly competitive industry, firms in a monopolistically competitive industry are inefficient...
compared with firms in a perfectly competitive industry, firms in a monopolistically competitive industry are inefficient because thery   a. do not lower the product price if put prices fall b. waste resources by producing an excess amount of output c. restrict their output levels to maximiz profirs d make economic profits in the long run. which of the following statement is true about a firm in a perfectly competitive market a. the demand for its product is a downward sloping...
Let a perfectly competitive industry have 100 identical firms with a marginal cost curve given by...
Let a perfectly competitive industry have 100 identical firms with a marginal cost curve given by MC = Q/2. a. Construct the short run industry supply curve with 100 firms. b. Let the market demand curve be Q = 4000 – 200*P. Find the short run equilibrium price, industry quantity, and firm quantity. c. This is a constant cost industry with a cost of $8. Will firms be making profits or losses in the short run equilibrium in b? d....
Assume that the market for fertilizer is perfectly competitive. Firms in the market are producing output...
Assume that the market for fertilizer is perfectly competitive. Firms in the market are producing output but they are experiencing economic losses. a.[5 marks] Explain how ATC, AVC and MC are related (Note: the relationship of these cost curves is same whether there is loss or profit). Explain how the price of fertilizer compares to the ATC, AVC and MC of producing fertilizer. b.[10 marks] Draw two graphs side by side illustrating the present situation for the single firm and...
Assume that the market for fertilizer is perfectly competitive. Firms in the market are producing output...
Assume that the market for fertilizer is perfectly competitive. Firms in the market are producing output but they are experiencing economic losses. a.Explain how ATC, AVC and MC are related (Note: the relationship of these cost curves is same whether there is loss or profit). Explain how the price of fertilizer compares to the ATC, AVC and MC of producing fertilizer. b. Draw two graphs side by side illustrating the present situation for the single firm and the entire market....
Suppose a perfectly competitive market consists of identical firms with the same cost function given by...
Suppose a perfectly competitive market consists of identical firms with the same cost function given by C(q)=2q3 - 3q2 + 70q The market demand is QD= 2200 - 10p What will be the long-run equilibrium price in this market? Round your answer to the nearest cent (0.01)
Consider the perfectly competitive market for steel. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MC)
Consider the perfectly competitive market for steel. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves shown on the following graph. The following diagram shows the market demand for steel. Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT