If  P(x)= 8 + 9x − x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize profit?

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Q: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

A: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

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Q: The general solution of y" + 16y cost is: Select one:

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

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Q: A firm produces a product that has the production cost function C(x) = 300x + 14,100 and the revenue…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  the revenue…

Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

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Q: Suppose that the daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the…

A: Given : The daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the average…

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Profit = Revenue - Cost  P(x)=(1300x-x^2)-(600+1200x) P(x)=-x^2+100x-600

Q: A firm can produce only 3000 units per month. The monthly total cost is given by C(x) = 400 + 200x…

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Q: A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then divide…

A: Let x be the length of rectangle and y be the width of rectangle.

Q: A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its…

A: Given Data: The number of units produced per week is: n=400 units per week The total cost function…

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A: An equation of single variable having degree 2 is called quadratic equation. It is in the form of…

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Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

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A: Given that, The total production cost (in dollars) for x units is: C(x) = 15000 − 125x + 0.025x2…

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Q: A fertilizer producer finds that it can sell its product at a price of p = 4000 – 0.8x dollars per…

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 55,000 + 100x +…

A: We need to maximize Profit (P(x)). We know :Profit=Revenue-CostSo,…

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Q: The price of a product in a competitive market is $400. If the cost per unit of producing the…

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Q: If a company has total costs  C(x) = 35,000 + 55x + 0.1x2  and total revenues given by  R(x) =…

A: Given: C(x) = 35,000 + 55x + 0.1x2   R(x) = 625x − 0.9x2

Q: A firm can produce only 1300 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Given that, the monthly total cost is, C(x)=500+200x and the total revenue is, R(x)=450x-1100x2.…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Cost function , C(x) =150x + 12,000Revenue function R(x) = 240x

Q: The fixed costs of a business for production of a particular item over a period are $1000 while the…

A: Solution:-

Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

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Q: The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per…

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Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

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Q: Suppose a calculator manufacturer has the total cost function C(x) = 17x +3,500  and the total…

A: To write the equation of profit function p(x).

Q: A firm can produce 300 units per week. If its total cost function is  C = 400 + 1400x  dollars and…

A: P(x) = R(x) - C(x) = 1700x - x² - 400 - 1400x = -x² + 300x - 400   Now take the derivative of the…

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total…

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Q: A firm can produce only 2900 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Since, A firm can produce only 2900 units per month. where, the monthly total cost is given by  C(x)…

Q: suppose the profit from the sale of x units of a product is P=6400x-18x^2-400. what levels of…

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Q: An apple grower finds that if she plants 70 trees per acre, each tree will yield 164 bushels of…

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Q: A firm can produce only 1100 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: Cost  is given by 400 + 200x Revenue is given by 350x -1100x2 We have to find the units to be sold…

Q: A firm can produce 500 units per week. If its total cost function is  C = 200 + 1000x  dollars and…

A: Given:

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 9% on the…

A: Total investment = x+y Given that the financier plans to invest up to $500,000 in two projects. So,…

Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

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Q: suppose a baby food company has determined that its total revenue R for its food is given by R =…

A: Given:       R = - x3 + 36x2 + 540x    R is measured in dollars and X is the number of units…

Q: A marketing firm has calculated that the total profits P of a product with x-dollars invested in…

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