1) Suppose for a certain product, an analyst determines that the Marginal Profit function is P'(x) = 64 – 0.016x and identifies the fixed costs at $50000. a) Discuss and determine what specific piece of information we know based on the fixed cost value. b) Construct the specific form of the Profit function, P(x). c) Find the maximum profits the analyst projects can be earned on this product.

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.

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: Assume that it costs a company approximately C(x)=800,000+ 490x + 0.0005x² dollars to manufacture x…

A: (a) Find the marginal cost function C'(x): Explanation: The marginal cost (C'(x)) represents the…

Q: Suppose the cost function for producing gadgets is C(q)=750+3q^2. At what production level is the…

A:

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: 9) A company The weekly

A: Given price-demand function is, p=200-150x

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

A:

Q: The revenue and cost functions for the sale of a particular product are given below (where x…

A: Please see the below picture for detailed solution.

Q: Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.005x3+0.07x2+18x+700​,…

A: We will use derivative to find marginal cost

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

A: