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The market demand for a type of carpet known as KP-7 has been estimated P =40 - 0.25Q, where P is price (S/yard) and Q

The market demand for a type of carpet known as KP-7 has been estimated P =40 - 0.25Q, where P is price (S/yard) and Q is rate of sales (hundreds of yards per month).

The market supply is expressed as: P = 5.0 + 0.05Q.

A typical firm in this market has a total cost function ghat as:

C = 100 - 20.0q + 2.0q 2

a. Determine the equilibrium market output rate and price.

b. Determine the output rate for a typical firm.

c. Determine the rate of profit (or loss) earned by the typical firm.

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