1. The cost (in pesos) of producing x corkboards is given by x2 + 20x + 500, while the price (in pesos) of each corkboard if there is a demand for x units is given by p(x) = 100 − x. (a) Find the marginal profit of producing and selling 15 corkboards.  (b) At what production level is the profit at a maximum?

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A: Definition used-                    A cost function is integral to the marginal cost function.…

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Q: (1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: The  monthly marginal profit function is By integrating, we get

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A: Given demanf function,p = D(x) = 14 - x2Supply function p = S(x) = 4x + 2

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A: (a) Consider the marginal function as p'x=-0.0003x2+0.02x+24. The total profit realizable from the…

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A: Given query is to find minimum marginal cost.

Q: A manufacturer believes that the cost function 3 C(x) = a +36x +920 2 approximates the dollar cost…

A: here, the given cost function is: C(x)=32x2+36x+920

Q: The management of Lorimar Watch Company has determined that the daily marginal revenue function…

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Q: Suppose that the total revenue function is given by R(x) = 47x and that the total cost function is…

A: Given data: The given revenue function is R(x)=47x. The given cost function is C(x)=70+29x+0.1x2.…

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Q: Suppose a company's revenue function is given by R(g) = - q° + 380q and its cost function is given…

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Q: 13) The marginal cost function for a particular commodity is given by C'(x) = 6x-17. If the cost of…

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Q: 1. The marginal cost function for a company is given by C'(q)=q^2-16q+70 dollars/unit, where q is…

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Q: 3. The cost (in pesos) of producing x toys is given by 1.5x? + 200x + 4000, whi price (in pesos) of…

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Q: b) Suppose that the total revenue function is given by R(x) = 46x, and that the total cost function…

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Q: A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit…

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Q: (d) Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x – 0.12². (i)…

A: Solution

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A: Given C'(q)=q2-14q+70 and  C(0)=700

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A: marginal profit

Q: 1. When the fixed cost of producing x units of steel is C(0) = $5500 and its marginal cost is C'(x)…

A: As per the rules we can answer only the first question.

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A: The price demand equation is 100p = 2800 - x  The cost function is C(x) = 11400 + 3x, 0≤x≤2800

Q: 29. Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is…

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Q: 2 9. For the cost function C(x)= 500x+.01x+400 a) find the average cost function and find the demand…

A: Cost function C(x) = 500x + 0.01x2 + 400   Average cost function Ax = Total cost functionNumber of…

Q: 1. For the profit function P(x) = –x³ + (3x+2)², where x represents an amount invested in thousands…

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Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $68 per edition…

A: The cost function is given by Cx=mx+b, where m is the marginal cost and ? is the fixed cost. Revenue…

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Q: Assume that it costs a company approximately C(x) = 700,000 + 250x + 0.0004x2 dollars to…

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A: Given cost function and revenue functions are Firstly, we will find profit function

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x –- 6200 and the cost is C(x) = 0.02x + 38,…

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Q: If a total cost function is C(x) = .0001x3 − .06x2 + 12x + 100, is the marginal cost increasing,…

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Q: (1) The revenue for a product is R(x) = −0.004x2 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38,…

A: The solution is given below

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A: We need to find marginal profit.

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Q: 1. A certain manufacturer produces door handles and has a profit function P(x) = 5x – 0.05x? – 450…

A: Given: A profit function, P(x) = 5x - 0.05x2 – 450 a) If 150 handles are sold, P(150) = 5(150) -…