Assume that the total revenue (TR), marginal revenue (MR), total cost (TC), and marginal cost (MC)...
Assume that the total revenue (TR), marginal revenue (MR), total cost (TC), and marginal cost (MC) functions of a monopoly firm are:
T R=220Q–0.001Q2 MR=∂TR=220–0.002Q
∂Q
T C =1,000,000+20Q+0.004Q2
MC=∂TC=20+0.008Q ∂Q
(1). Compute the optimal monopoly price/output combination. (10
points)
(2). Calculate the firm’s maximised profit. If the company has $5
million invested in
plant and equipment, what is the rate of return on investment? (10 points)
(3). Assuming that the public utility commissions want the firm to provide more products to customers at a lower price, and specifies that a 10% rate of return on total assets is fair for the firm, what is the appropriate price/output combination and profit level for the firm in this case? (10 points)
Homework Answers
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Assume that the total revenue (TR), marginal revenue (MR), total
cost (TC), and marginal cost (MC)...
Given the following information for a monopoly firm: Demand: P = 64-4(Q) Marginal revenue: MR =...
Given the following information for a monopoly firm: Demand: P = 64-4(Q) Marginal revenue: MR = 64 - 8(Q) Marginal cost: MC = 2(0)+10 Average total cost at equilibrium is 30 1. At what output (Q) will this firm maximize profit? 2. At what price (P) will this firm maximize profit 3. What is the total revenue (TR) earned at this output level 4. What is the total cost (TC) accrued at this output 5. What profit is earned Assume...
1) A perfectly competitive firm faces the following Total revenue, Total cost and Marginal cost functions:...
1) A perfectly competitive firm faces the following Total revenue, Total cost and Marginal cost functions: TR = 10Q TC = 2 + 2Q + Q2 MC = 2 + 2Q At the level of output maximizing profit , the above firm's level of economic profit is A) $0 B) $4 C) $6 D) $8 *Additional information after I did the math: The price this firm charges for its product is $10, the level of output maximizing profit is 4...
Fill in the Table for a monopoly. Q P TR TC Profit MR MC 10 $20...
Fill in the Table for a monopoly. Q P TR TC Profit MR MC 10 $20 $150 11 19 155 12 18 161 13 17 170 14 16 185 39 15 15 210 What is the highest profit possible? What is the profit maximizing level of output? What is the profit maximizing price? Draw the graph for a monopoly below, find the profit maximizing level of output Q*, the profit maximizing price P*, the average total cost ATC*, the profit...
#1 1. A firm has the following demand and total cost schedule. TR Profit MR MC O 0 10 20 30 40 50 60 P 100 90 80 70...
#1
1. A firm has the following demand and total cost schedule. TR Profit MR MC O 0 10 20 30 40 50 60 P 100 90 80 70 60 50 40 TC 200 400 600 800 800 1,000 1.200 1.400 a) Is the firm a price-taker or price searcher? Explain. b) Complete the Total Revenue (TR) and Profit schedules. c) How many units of output (Q) should the firm produce to maximize profits? d) What price (P) should the...
8. Consider the following Demand (Price and Marginal Revenue) and Cost (Total and Marginal) relationships expressed...
8. Consider the following Demand (Price and Marginal Revenue) and Cost (Total and Marginal) relationships expressed as functions of Q: Price = P(Q) = 310 – 2Q TC = TC(Q) = 3500 + 70Q + Q2 MR = MR(Q) = 310 – 4Q MC = MC(Q) = 70 + 2Q a. What is the profit-maximizing level of output? What is the price at that level? b. Should the firm continue operating in the short run? In the long run? c....
1. A monopoly is facing an inverse demand curve that is p=200-5q. There is no fixed cost and the marginal cost of produc...
1. A monopoly is facing an inverse demand curve that is
p=200-5q. There is no fixed cost and the marginal cost of
production is given and it is equal to 50.
Find the total revenue function.
Find marginal revenue (MR).
Draw a graph showing inverse demand, MR, and marginal cost
(MC).
Find the quantity (q) that maximizes the profit.
Find price (p) that maximizes the profit.
Find total cost (TC), total revenue (TR), and profit made by
this firm.
Find...
*PLEASE ONLY DO #3 BASED OFF #2, #2 has been done. Thank you! 2) Total Cost...
*PLEASE ONLY DO #3 BASED OFF #2, #2 has been done. Thank
you!
2)
Total Cost (TC) = 250+ q +0.004q2
Demand: p = 8 - 0.001Q
a) The monopolist will produce where the marginal revenue equals
the marginal cost.
MC = dTC/dq
MC = 1+0.008q
TR = P*Q
TR = 8Q – 0.001Q2
Marginal Revenue(MR) = dTR/dQ
MR = 8-0.002Q
Therefore,
1+0.008q = 8 – 0.002q
0.01q = 7
q = 700
Price = 8 – 0.001*700
Price =...
need help with all of them Question 6 (1 point) In perfect competition, marginal revenue is the change in revenue from...
need help with all of them
Question 6 (1 point) In perfect competition, marginal revenue is the change in revenue from selling an additional unit of output the revenue in excess of what can be earned in the next-best alternative the last dollar needed to make zero economic profit the extra revenue generated by a $1 change in price the last dollar needed to make maximum profit Question 7 (1 point) In which of the following situations should a profit-maximizing...
Consider a competitive rm with total costs given by TC(q) = 100 + 10q + q^2,...
Consider a competitive rm with total costs given by TC(q) = 100 + 10q + q^2, The firm faces a market price p = 50. (a) Write expressions for total revenue TR and marginal revenue MR as functions of output q. (b) Write expressions for average total cost ATC, average variable cost AVC, and marginal cost MC as functions of output q. (c) For what value of output is ATC minimized? (d) Find the profit maximizing level of output q...
The graph below shows a monopolist's demand (D), marginal revenue (MR), marginal cost (MC), and average...
The graph below shows a monopolist's demand (D), marginal
revenue (MR), marginal cost (MC), and average total cost (ATC)
curves. Management wants to adjust the production output quantity
to maximize the firm's profits. What quantity should the firm aim
for?
Give your answer by dragging the Q line to a new position to mark
the quantity at which profit is as large as possible.
Price and cost ATC MC MR Quantity
Given the following information for a monopoly firm: Demand: P = 64-4(Q) Marginal revenue: MR = 64 - 8(Q) Marginal cost: MC = 2(0)+10 Average total cost at equilibrium is 30 1. At what output (Q) will this firm maximize profit? 2. At what price (P) will this firm maximize profit 3. What is the total revenue (TR) earned at this output level 4. What is the total cost (TC) accrued at this output 5. What profit is earned Assume...
#1
1. A firm has the following demand and total cost schedule. TR Profit MR MC O 0 10 20 30 40 50 60 P 100 90 80 70 60 50 40 TC 200 400 600 800 800 1,000 1.200 1.400 a) Is the firm a price-taker or price searcher? Explain. b) Complete the Total Revenue (TR) and Profit schedules. c) How many units of output (Q) should the firm produce to maximize profits? d) What price (P) should the...
1. A monopoly is facing an inverse demand curve that is
p=200-5q. There is no fixed cost and the marginal cost of
production is given and it is equal to 50.
Find the total revenue function.
Find marginal revenue (MR).
Draw a graph showing inverse demand, MR, and marginal cost
(MC).
Find the quantity (q) that maximizes the profit.
Find price (p) that maximizes the profit.
Find total cost (TC), total revenue (TR), and profit made by
this firm.
Find...
*PLEASE ONLY DO #3 BASED OFF #2, #2 has been done. Thank
you!
2)
Total Cost (TC) = 250+ q +0.004q2
Demand: p = 8 - 0.001Q
a) The monopolist will produce where the marginal revenue equals
the marginal cost.
MC = dTC/dq
MC = 1+0.008q
TR = P*Q
TR = 8Q – 0.001Q2
Marginal Revenue(MR) = dTR/dQ
MR = 8-0.002Q
Therefore,
1+0.008q = 8 – 0.002q
0.01q = 7
q = 700
Price = 8 – 0.001*700
Price =...
need help with all of them
Question 6 (1 point) In perfect competition, marginal revenue is the change in revenue from selling an additional unit of output the revenue in excess of what can be earned in the next-best alternative the last dollar needed to make zero economic profit the extra revenue generated by a $1 change in price the last dollar needed to make maximum profit Question 7 (1 point) In which of the following situations should a profit-maximizing...
The graph below shows a monopolist's demand (D), marginal
revenue (MR), marginal cost (MC), and average total cost (ATC)
curves. Management wants to adjust the production output quantity
to maximize the firm's profits. What quantity should the firm aim
for?
Give your answer by dragging the Q line to a new position to mark
the quantity at which profit is as large as possible.
Price and cost ATC MC MR Quantity
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