80. Maximum Profit The profit P (in dollars) generated by sell- ing x units of a certain commodity is given by P(x) = -1500 + 12x - 0.0004.x² What is the maximum profit, and how many units must be sold to generate it?

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Q: 1. When x gallons of olive oil are produced the profit function is given by P(x) = -: (i) Find the…

A: Solution is given below:

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A: Explained below

Q: 62. Production Level Suppose c(x) = x³ – 20x2 + 20,000x is the cost of manufacturing x items. Find a…

A: Cx=x3-20x2+20000x The average cost function is, Ax=Cxx=x3-20x2+20000xx=x2-20x+20000 Now…

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Q: The cost in dollars of making x items is given by the function C (x) 10x + 800. a. The fixed cost is…

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Q: 8.) The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds…

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Q: 5) A company manufactures and sells x cameras per month. The monthly revenue function is given by…

A: Since you have posted multiple questions we solved the 5th questions for you To get the solution of…

Q: 5 x 500, p 4 - In(x) where x is the number of hot dogs (in thousands) that can be sold during one…

A: Given a function

Q: 8. The area of a rectangle whose perimeter is a fixed 80 feet is given by A 40w – w² , where w is…

A: Perimeter of rectangle is 80 feet p=80 2(l+w)=80 l+w=40l=40-w Area of rectangle:- A=lw =(40-w)w…

Q: x2 - 26x + 2028, Osxs156 12 Find x and the corresponding price p that maximize revenue. The maximum…

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Q: 4. A company finds that the total cost of manufacturing x units of a certain product is given by…

A: 4 a) Given that, the cost function is Cx=12x2+100x+125000. Obtain the average cost function Cx=Cxx.…

Q: 2. In a company if the revenue function is given by R(x) = 3(Z+ R)x – 0.2x² and cost function is…

A: the  revenue function R(x)=3Z+Rx-0.2x2 put z=4 andR=6 therefore, R(x)=3Z+Rx-0.2x2 R(x)=34+6x-0.2x2…

Q: 3. A manufacturer estimates the monthly cost to produce x items is C(x) = 1000 + 10x – 0.02x²…

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Q: 7. The cost per computer produced at a factory depends on how many computers the factory produces in…

A: (7) Cost per computer produced by a factory is given by the function; C(n)=1500n2-n+200. where n is…

Q: 10. Revenue Suppose consumers will purchase q units of a 200 product at a price of +3 dollars per…

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Q: 4. The profit function, p(x), for a company is the cost function, c(x), subtracted from the revenue…

A: Recall: Profit Function P(x) = R(x)-C(x) ; where R(x) is Revenue function and C(x) is the cost…

Q: 10. The management of a company estimates that the cost (in RM) to produce x units of a certain…

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Q: To produce x units of some product a company spends C(x)=ax2+bx($), where a and b are real numbers.…

A: Sale value, S(x) = Sale price x sale volume = px Profit function = Sale value - cost Hence, P(x) =…

Q: 8. The area of a rectangle whose perimeter is a fixed 80 feet is given by A= 40w– w² , where w is…

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Q: 3. (6 points) Suppose that p(x) = -x°+x²-6x represents the profit (in millions of dollars) of Link…

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Q: 4. A smokestack deposits soot on the ground with a concentration inversely proportional to the…

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Q: 6. The total profit P(x) in thousands of dollars from the sale of x units of a certain prescription…

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Q: The cost in dollars of making items ss given by the function C(x)=10x+300, (a) The fixed cost…

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Q: C) show that if r(x)> 6x and c(x) - n} - 6x*+I5X are your revenue and cost functions, then the best…

A: # we are entitled to solve one question at a time ,please resubmit the other question if you wish to…

Q: An energy-drink manufacturer has a daily production cost of ? = 70,000 − 120? + 0.055?2, where C is…

A: The cost function is C(x)=70000-120x+0.055x2, where C is the total cost (in dollars) and x is the…

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A: Given query is to find the maximum revenue.

Q: The cost in dollars of making items is given by the function C (x) = 10x + 500. a. The fixed cost is…

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Q: 6-x 4. A rectangular page is bounded by the x – axes, the y – axes, and the line y = What length and…

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Q: 19. The demand for for a box of 100 pencils is given by p = -2x + 160, where is the number of boxes…

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Q: #12) Company XYZ has established the price for a given commodity x is given by the equation p = 200…

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Q: 7. A product can be produced at a total cost C(x) = 800+100x²+x³ dollars, where x is the number…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: 24. The revenue and the cost functions for producing x gizmos are R(x) = 200 x - x² and C(x) = 5000…

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Q: A company can produce between 400 and 1000 items per day. The average cost per item is given by:…

A: Given, ACx=x3-13x2+40x+1000 Differentiating the given function with respect to x.…

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Q: A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per…

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Q: Suppose a company has a fixed cost of $300 and a variable cost per unit of 3/4x+1460, where x is the…

A: Solution

Q: The average cost per item for a product is given by:  AC(x)=x^3/3-7x^2/2+12x+10 Where x is the…

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Q: The cost C of a product is a function of the quantity x of the product: C'(x) = x² - 3000x+50 .Which…

A: Please refer to the image below

Q: 6) A company estimates that the cost (in dollars) of producing x items is C(x) = 2400 + 3x + 0.0001x…

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Q: The average cost per item for a product is given by: AC(x)= x^3/3-7x^2/2+12x+10 Where x is the…

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Q: Average cost If the total cost function for a lamp is C (x) = 250 + 33x + 0,1x2 dollars, producing…

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Q: The profit function for a certain commodity is P(x) = 190x – x2 - 1000. Find the level of production…

A: Note: As you did not mentioned on which part you need help, so we only allowed to help you on first…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

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Q: Suppose a company has a fixed cost of $300 and a variable cost per unit of 3/4x+1460, where x is the…

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Q: The cost in dollars of making x items is given by the function C(x)=10x+800.   a. The fixed cost…

A: We have,               The cost in dollars of making x items is given by the function C(x)=10x+800.