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Use the graph below of the demand for coal to answer the questions that follow

Economics Oct 28, 2020

Use the graph below of the demand for coal to answer the questions that follow. 110 100- 90+ 80+ 70+ 60+ Price 50 40 30 Demand 20 10 0 200 1,000 400 600 800 Quantity (tons) Do NOT press Enter after typing the answer in each cell. Use Tab or take the cursor to the next cell How much consumer surplus will be in the market when the price is $50 per ton? $ Suppose the price of coal increases to $80. Compared to the consumer surplus Submit
Suppose the price of coal increases to $80. Compared to the consumer surplus when the price was $50, by how much would consumer surplus decrease? $ The decrease in consumer surplus that you found in part (b) is the result of two factors: Some consumers are driven out of the market and losing their consumer surplus, and others who are still buying coal are receiving less consumer surplus on their purchases. How much of the decrease in consumer surplus is from people who still buy coal at the higher price? $ How much of the decrease in consumer surplus is from people who are driven out of the market by the higher price? $ Submit

Expert Solution

When price = $ 50 then the quantity demanded is 500 tons.

Consumer surplus = (1/2)×(100 - 50) × 500 = $ 12,500

When the price = $ 80, then quantity is 200 tons

CS =(1/2)×(100-80)×200 = $ 2,000

Change in CS = 12,500 - 2,000 = $ 10,500

Decrease in CS from people still buying Coal =(80-50)×200 = $ 6,000

Decrease in CS from people driven out of market

= (1/2)×(80-50)×(500-200)

= 0.5 × 30 × 300

= $ 4,500

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