Total cost , Total Revenue, Profit function, profit Maximizing output and price from demand function

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A manufacturer producing x items per week has an average cost of $ [x²/3 -8.5x +50+90/x] The demand function for this product is 22- P=0.5x where P is the selling price per item. Find The total cost function, The total revenue function, Profit function, Find the level of output which maximize the total profit. Find the maximum profit and the selling price of an item at maximum profit.#MathematicalEconomics
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Very helpful explanation sir, thank you.

sudhanshushekhar
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A firm faces the demand function Q = 500 - 0. 5P and has a cost function C = 1000 + 700Q +Q2.
a. What levels of output and price maximize profit for this firm? (2 point)
b. What is the firm’s maximum profit? (1 point)
c. Show that the second-order conditions for a maximum are satisfied at the
output level found in part (a). (0.5 Point)
d. Illustrate by the appropriate graph (0.5 Point)

derejegirma
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Sir, 22x minus 50x will become minus 28??

gp