The number of gallons that maximize profit.

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Chapter 5, Problem 22PAA

To determine

To find: The number of gallons that maximize profit.

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In the aftermath of a hurricane, an entrepreneur took a one-month leave of absence (without pay) from her $5,000-per-month job in order to operate a kiosk that sold fresh drinking water. During the month she operated this venture, the entrepreneur paid the government $2,500 in kiosk rent and purchased water from a local wholesaler at a price of $1.34 per gallon. Write an equation that summarizes the cost function for her operation, as well as equations that summarize the marginal, average variable, average fixed, and average total costs of selling fresh drinking water at the kiosk. If consumers were willing to pay $2.25 to purchase each gallon of fresh drinking water, how many units did she have to sell in order to turn a profit? Explain carefully

n the aftermath of a hurricane, an entrepreneur took a one-month leave of absence (without pay) from her $5,000-per-month job in order to operate a kiosk that sold fresh drinking water. During the month she operated this venture, the entrepreneur paid the government $2,500 in kiosk rent and purchased water from a local wholesaler at a price of $1.34 per gallon. Write an equation that summarizes the cost function for her operation, as well as equations that summarize the marginal, average variable, average fixed, and average total costs of selling fresh drinking water at the kiosk. If consumers were willing to pay $2.25 to purchase each gallon of fresh drinking water, how many units did she have to sell in order to turn a profit? Explain carefully. (LO1, LO3)

Consider the following cost function (C): C= 0.25q3 - 4q? + 75q + F. The equation for average cost (AC) is: AC = |. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) The equation for variable cost (VC) is: Vc=. (Properly format your expression using the tools in the palette.) The equation for marginal cost (MC) is: MC =. (Properly format your expression using the tools in the palette.)