A company sells square carpets for $7 per square foot. It has a simplified manufacturing process for which all the carpets each week must be the same size, and the length must be a multiple of a half foot. It has found that it can sell 200 carpets in a week when the carpets are 3 ft by 3 ft, the minimum size. Beyond this, for each additional foot of length and width, the number sold goes down by 4. What size carpets should the company sell to maximize its revenue? What is the maximum weekly revenue? Write the equation for the revenue, R, the company will earn as function of the length, x, of the carpet squares sold. R(x) =

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A: Now , we will find the minimum average cost per hundred units .

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Q: If, in a monopoly market, the demand for a product is p = 160 − 0.10x and the revenue function is R…

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Q: The Fashion Store has ​$12,000 available each month for advertising. Newspaper ads cost ​$400…

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Q: The manufacturer of a CD player has found that the revenue R (in dollars) is  R(p)= -5p^2+1120p,…

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Q: If the total revenue and total cost (in dollars) are given by R(x) = 5x – 0.003x² - C(x) = 300 +…

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Q: farmer finds that if she plants 75 trees per acre, each tree will yield 25 bushels of fruit. She…

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Q: A pension fund manager decides to invest at most $50 million in U.S. Treasury Bonds paying 4% annual…

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Q: Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the…

A: Here we use the second derivative test to find the dimensions of the required box.

Q: Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12…

A: The complete solutions are given below

Q: A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The management wants…

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Q: An apple grower finds that if she plants 60 trees per acre, each tree will yield 350 bushels of…

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Q: The bakery at Sam's club makes jumbo cookies and regular cookies. The oven can make at most 200…

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Q: An investor has $75,000 to invest in a CD and a mutual fund. The CD yields 7% and the mutual fund…

A: This question can be solved by applying the concept of linear programming.

Q: A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 200 biscuits per…

A: Let's find.

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