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Answer the following questions: Suppose the demand for eggs is: Q = 9,000-2,000P

ID: 1219700 • Letter: A

Question

Answer the following questions:

Suppose the demand for eggs is: Q = 9,000-2,000P and the supply of eggs is: Q = - 1,000 + 3,000P, where quantity is measured in millions (of eggs). Find the market-clearing price and quantity for eggs. (Enter price responses rounded to two decimal places.) The market-clearing price is $ squarebox and the market-clearing quantity is squarebox million eggs. Now suppose the cost of producing eggs increases such that the supply curve for eggs shifts to Q = -2,000 + 3,000P. Find the market-clearing price and quantity for the product. The market-clearing price is $ squarebox and the market-clearing quantity is squarebox million eggs.

Explanation / Answer

The equilibrium condition:

Demand = Supply

9,000 – 2,000P = -1,000 + 3,000P

5,000P = 10,000

P = 10,000 / 5,000

   = 2

Putting P = 2 in either the demand function or supply function.

Q = 9,000 – 2,000P

    = 9,000 – 2,000 × 2

    = 9,000 – 4,000

    = 5,000

Answer: Price is $2 and quantity is 5,000 millions.

The equilibrium condition:

Demand = Supply

9,000 – 2,000P = -2,000 + 3,000P

5,000P = 11,000

P = 11,000 / 5,000

   = 2.2

Putting P = 2.2 in either the demand function or supply function.

Q = 9,000 – 2,000P

    = 9,000 – 2,000 × 2.2

    = 9,000 – 4,400

    = 4,600

Answer: Price is $2.2 and quantity is 4,600 millions.

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