Question

5A Let's suppose that a monopoly firm faces the following demand curve and costs: At a...

5A

Let's suppose that a monopoly firm faces the following demand curve and costs: At a price of $25, it sells 4,000 products. At a price of $24, it sells 4,200 products. At a price of $23, it sells 4,400 products. At a price of $22, it sells 4,600 products. At a price of $21, it sells 4,800 products. At a price of $20, it sells 5,000 products. What are the values for marginal revenue respectively for this monopolist?

At output 4,200, marginal revenue is $8. At output 4,400, marginal revenue is $4. At output 4,600, marginal revenue is $0. At output 4,800, marginal revenue is -$12. At output 5,000, marginal revenue is -$14.
At output 4,200, marginal revenue is $1. At output 4,400, marginal revenue is $2. At output 4,600, marginal revenue is $3. At output 4,800, marginal revenue is $4. At output 5,000, marginal revenue is $5.
At output 4,200, marginal revenue is $4. At output 4,400, marginal revenue is $2. At output 4,600, marginal revenue is $0. At output 4,800, marginal revenue is -$2. At output 5,000, marginal revenue is -$4.
At output 4,200, marginal revenue is $2. At output 4,400, marginal revenue is $4. At output 4,600, marginal revenue is $6. At output 4,800, marginal revenue is $8. At output 5,000, marginal revenue is $10.
At output 4,200, marginal revenue is $2. At output 4,400, marginal revenue is $2.50. At output 4,600, marginal revenue is $1.50. At output 4,800, marginal revenue is -$1.50. At output 5,000, marginal revenue is -$2.50.

5B

Output Price TR MR TC MC
0 $18 $0 - $400 -
100 17 1,700 $17 1,900 $15
200 16 3,200 15 2,900 10
300 15 4,500 13 3,500 6
400 14 5,600 11 4,000 5
500 13 6,500 9 4,600 6
600 12 7,200 7 5,350 7.50
700 11 7,700 5 6,150 8
800 10 8,000 3 7,300 13
900 9 8,100 1 9,300 20

Please consider the above table with cost and revenue data for a monopoly firm. The above monopolist will maximize profits at output:

400
200
500
600
0 0
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Answer #1

5A ) Ans: At output 4,200, marginal revenue is $4. At output 4,400, marginal revenue is $2. At output 4,600, marginal revenue is $0. At output 4,800, marginal revenue is -$2. At output 5,000, marginal revenue is -$4.

Explanation:

Price $) Output Total Revenue Marginal Revenue
25 4000 100000 -
24 4200 100800 4
23 4400 101200 2
22 4600 101200 0
21 4800 100800 -2
20 5000 100000 - 4

TR = Price * Quantity

MR = ATR/AQ

5B ) Ans: Monopolist will maximize profits at output 500.

Explanation:

Monopolist profit maximization condition is where MR = MC or MR is greater than MC

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