Consider a pizzeria that sell pizza for a revenue of R(x) = 10x and a cost of C(x) = 2x + x2 dollars. %3D How many pizzas sold maximizes the profit?

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Q: When a potter sells his pots for p dollars apiece, he can sell D(p)=2500-p2 them. Suppose the pots…

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Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Here we will find the number of trees per acre to maximise harvest,

Q: A company that produces cell phones has a cost function of C = 17x² – 444x + 18816, where C is the…

A: Given cost function: C=17x2-444x+18816 where C is the cost in dollars, and x is the number of cell…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

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Q: A small manufacturing company can sell all the items it produces at a price of $ 5 each. The cost to…

A: Based on given data detailed solution is provided

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Q: If the total revenue function for a hammer is R = 36x-0.001x^2, then sales of how many hammers, x,…

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

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: A company that produces cell phones has a cost function of C = 11x – 84x + 21994, where C is the…

A: Given: The cost function C=11x2-84x+21994, where C is the cost in dollars and x is the number of…

Q: A company that produces cell phones has a cost function of C = 6x² – 197x + 1859, where C is the…

A: C= 6x2-197x+1859differentiating w.r.t xC'=12x-197+0C'=012x-197=0x=19712

Q: A company that produces cell phones has a cost function of C = 4x2 – 56x + 8972, where C is the cost…

A: Given query is to find the number of unit to minimize the cost.

Q: An apple grower finds that if she plants 60 trees per acre, each tree will yield 222 bushels of…

A: Let x be the additional number of trees planted on the 1 acre land. Let y be the total harvest of…

Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: A company that produces cell phones has a cost function of C = 20x² and x is the number of cell…

A: The given cost function is Cx=20x2-515x+1724. We need to find the number of units of cell phone that…

Q: 20x2 A company that produces cell phones has a cost function of C = cost in dollars and x is the…

A: cost function, C=20x2-337x+17096, where C is the cost in dollarsand x is the number of cell phones…

Q: The estimated monthly profit realizable by the Cannon Precision Instruments Corporation for…

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Q: A company that produces cell phones has a cost function of C the cost in dollars and x is the number…

A: Let's find critical points. The derivative of the cost function is  C'(x) = 20x - 189 The derivative…

Q: The weekly revenue from the sale of x units of a service is given by R(x) = 192x - 6x thousand…

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Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 65 bushels of fruit. She…

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Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: A company that produces cell phones has a cost function of C = 3x² - 46x + 15097, where C' is the…

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Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

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Q: A company that produces cell phones has a cost function of C = 26x – 593x + 22097, where C is the…

A: Given: Here, 'C' is the cost and 'x' ins the number of cellphone produce. The condition for minimum…

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

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

A: The cost function per unit is 70 + 0.2x in dollars and x be the number of items produced per month.

Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have…

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Q: An apple grower finds that if she plants 20 trees per acre, each tree will yield 90 bushels of…

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Q: The cost per day of running a hospital is 300,000 + 0.75x2 dollars, where x is the number of…

A: Given cost equation is: C(x) = 300000 + 0.75 x^2 For x = 200 we get, C(200) = 300000 + 0.75 (200^2)…

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Let x be trees per acre and y be yield.  The given data is represented in an equation,…

Q: . Suppose the revenue, in dollars, for producing x chairs is given by r(x) = 90x and the cost to…

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Q: What is the cost of producing the 3001st Quebee?

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Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A: Given  , Average cost per bicycle  C(x) = 0.5x2-0.5x+3.769

Q: The annual total revenue for Pilot V5 pens is given by R(x) = 1500x - 0.02x2 dollars, where x is the…

A: Given, R(x)=1500x-0.02x2

Q: Find the profit function if cost and revenue are given by C(x) = 130 + 2.2x and R(x) = 5x -0.09x.

A: Given: C(x)=130+2.2x R(x)= 5-0.09x2

Q: A farmer has 100 feet of fence and wants to make a rectangular holding pen. What dimensions should…

A: Given: Length of fence available = 100 ft

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: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: topic - application of derivatives

Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

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Q: A company that produces cell phones has a cost function of C = 12x2 – 89x + 16981, where C the cost…

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: A fast-food restaurant has a cost of production C(x)=13x+110 and a revenue function R(x)=8x. When…

A: GivenC(x)=13x+110R(x)=8x

Q: The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number…

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

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Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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Q: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…

A: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…

Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When…

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx