3) Find the Maximum Profit P(x)=? if the price function is p(x) = 20,000 - 50x and the cost function is C'(x) = 5000x + 15,000 Hint: Use Profit = Revenue-Cost ‒‒‒ > P(x)= R(x)- C(x) R(x)=(price) *(quantity)= p*x

Q: C(x)=.03x^3-.2x^2+12x+250 where c is given in dollars . Determine r(x) if items are sold at $120…

A: Given that - C(x)=0.03x3 - 0.2x2 + 12x + 250 where c is given in dollars.

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A: the given cost function C(x)=1700(x2+5)(1/3)+800 , for the production of x airplanesrate of change…

Q: Find the number of volunteers in the group if each volunteer cleans up a section of the following…

A: Total length = 2 miles ∴ The length of a road section in miles for each volunteer is given by : l=2n…

Q: 5 17. The marginal profit function for a company can be modeled by P'(x) = - 5x+3 thousand units…

A:

Q: A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x +…

A: a) Revenue = price x quantity sold R(x) = 80 x

Q: 1.f(x) = 1 - 2x + x^2 ( a) Match the equation with its graph (a-f). (b) Identify the turning…

A:

Q: The profit function for x units produced and sold is given by P(x) = -x2 + 48x - 210.  Determine the…

A: Find derivative of the polynomial with respect to x

Q: The marginal cost of producing the xth box of CDs is given by 12 - x/(x2 + 1)2. The total cost to…

A:

Q: Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily…

A: Cx=0.005x3-0.5x2+28x+300 a). The extra cost of increasing daily production from 50 to 51 items is,…

Q: A computer chip manufacturer has determined the weekly demand of their product is given by the…

A:

Q: The marginal cost of producing the xth box of CDs is given by 9 - x/(x² + 1)2. The total cost to…

A: Given that: C'x=9-xx2+12. The cost for 2 boxes is $1200. The cost function is obtained by…

Q: If you are given a revenue function which is, R(x) = 30x–0.025x^2 and a cost function of, C(x) = 2x…

A:

Q: The daily profit function in dollars for a food truck given by the function P(x)=7(x^2-600)^1/3-26…

A:

Q: A company estimates that it will sell N(x) units of a product after spending Sx thousand on…

A:

Q: Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x =…

A: Given P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4 - 5100 P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4

Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

A: