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Suppose a monopolist faces a per period demand curve having the form: P = 11 – 0.005Q. Her total cost function is given by: TC = 0.5Q. This monopolist is able to practice second degree price discrimination, by selling off batches of her product along the demand curve. She chooses two prices: $9 per unit and $5 per unit. What is the consumer surplus in each period? Group of answer choicesConsumer Surplus = $4,000.Consumer Surplus = $2,400.Consumer Surplus = $1,600.Consumer Surplus = $2,800.Consumer Surplus = $2,000.

Question

Suppose a monopolist faces a per period demand curve having the form: P = 11 – 0.005Q. Her total cost function is given by: TC = 0.5Q. This monopolist is able to practice second degree price discrimination, by selling off batches of her product along the demand curve. She chooses two prices: 9perunitand9 per unit and 5 per unit. What is the consumer surplus in each period? Group of answer choicesConsumer Surplus = 4,000.ConsumerSurplus=4,000.Consumer Surplus = 2,400.Consumer Surplus = 1,600.ConsumerSurplus=1,600.Consumer Surplus = 2,800.Consumer Surplus = $2,000.

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Solution

To calculate the consumer surplus, we first need to find the quantity demanded at each price point.

  1. For the price of $9 per unit, we can substitute P = 9 into the demand equation to find Q:

    9 = 11 - 0.005Q 0.005Q = 11 - 9 0.005Q = 2 Q = 2 / 0.005 Q = 400 units

  2. For the price of $5 per unit, we can substitute P = 5 into the demand equation to find Q:

    5 = 11 - 0.005Q 0.005Q = 11 - 5 0.005Q = 6 Q = 6 / 0.005 Q = 1200 units

The consumer surplus is the area between the demand curve and the price line. It can be calculated as the difference between what consumers are willing to pay and what they actually pay.

  1. For the price of $9 per unit, the consumer surplus is:

    (1/2) * (11 - 9) * 400 = $400

  2. For the price of $5 per unit, the consumer surplus is:

    (1/2) * (9 - 5) * (1200 - 400) = $1200

Adding these two values together, the total consumer surplus is 400+400 + 1200 = $1600.

So, the correct answer is: Consumer Surplus = $1,600.

This problem has been solved

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