The cost Cof a production is a function of the quality x of the product is given by the relation: C(x) - 4000x + 50. Find the quantity for which cost is a minimum.

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A: Given revenue function: Rx=-60x2+300x where x is the price in dollars per item and 0≤x≤5

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Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: C(x) = 4x² - 800x + 50000 So, C'(x) = 8x - 800 &, C"(x) = 8 > 0 So, C(x) is always minimum…

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A: Given p=650-xwhere p is the price in dollor when x unit are demanded

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Q: Maximizing revenue A sales analyst determines that the revenuefrom sales of fruit smoothies is given…

A: Rx=-60x2+300x, 0≤x≤5 a). Differentiating Rx=-60x2+300x with respect to x, we get…

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Q: Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be fp) =…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: The cost C of a production is a function of the quality x of the product is given by the relation:…

A: The cost function,C(x)=x2-4000x+50

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Q: A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.7x + 7200,…

A: C=0.7x+7200 ,                   0≤x≤50000R=120000(69000x-x2),     0≤x≤50000

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

A: In the question we have to find the no of units which will provide maximum profit.

Q: Minimizing Production Costs The total monthly cost (in dollars) incurred by Cannon Precision…

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Q: The demand for a certain type of cosmetic is given by p = 300 - x, where p is the price in dollars…

A: Use formula to calculate revenue

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Q: tion Find A and B given that the function y = A + Ba has a minimum value of 54 at x = 81. a) OA= 486…

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Q: Find the minimum value of f(x,y,z) = x² + y² +z² subject to - 8x - 4y + 2z = -84. The value of f at…

A: We use Lagrange multipliers method for optimization to solve the given question.

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

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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 demand for a certain type of cosmetic is given by p=300 – x, wherep is the price in dollars when…

A: The demand for the cosmetic is p=300-x, where p is the price in dollars when x units are demand.

Q: 51. Investing. Gina has just invested in two funds. The combined value V, in dollars, of the two…

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A: Given, y=ex2-4x

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Q: The demand for a certain type of cosmetic is given byp = 500 - x,where p is the price in dollars…

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Q: The cost function for a species of wild fish is estimated to be a function C(x) where x is the…

A: Two point: (3,0.103)  and (6,0.133)

Q: Where does the function g have a relative minimum? Justify your answer.

A: In the question it is asked to find the point where g(x) has a relative minimum.

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

A: