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demand for a particular product is given by the expression 4𝑃 + 𝑄 βˆ’ 16 = 0 and the total cost per unit function is 0.05𝑄/ βˆ’ 0.3𝑄3 + 2𝑄 + 4,Find

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Assignment

1.      Ebo is the owner of a medium-sized company that assembles personal computers in Ghana. He purchase most of the components for the company such as random access memory (RAM) on a competitive market. In order to maximize profit in the short run, he employed an economist to estimate the demand curve for his product as: 3𝑄 =20 − 0.4𝑃. Suppose the firm has a fixed cost of 100 and variable cost per unit function as 1.5𝑄 − 31 + 1/0, where Q is the number of laptops produced and P is the price per computer:

a)      Determine the number of laptops that maximize the company’s profit.

b)      How much should the firm charge for one computer?

c)      Find the total profit at the profit-maximizing level of output 

2.      The demand for a particular product is given by the expression 4𝑃 + 𝑄 − 16 = 0 and the total cost per unit function is 0.05𝑄/ − 0.3𝑄3 + 2𝑄 + 4,Find

a)      an expression of the profit the function of the firm in terms of quantity.

b)      the level of output that maximizes the firm’s profit

c)      the price at which the good should be sold in order to maximize profit

d)      the maximum profit of the firm

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