Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function and estimate the marginal cost of the 25th widget. C'(x) = The marginal cost for the 25th widget is given by
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- Suppose that the total revenue function for a commodity is R(x)=25x-0.5x^2 a. Find R(10) and tell what it represents. b. Find the marginal revenue function. c. Find the marginal revenue at x = 10, and tell what it predicts about the sale of the next unit. d. Find R(11) – R(10) and explain what it represents.A company's cost (in dollars) to produce x units is C(x) = 82 + 6x -0.04x^2. Find the marginal cost when 25 units are sold. Round to the nearest cent, and do not enter the dollars sign.If the marginal profit is P'(x)=x^3-2x+100 and the profit for selling 10 items is $2000, determine the profit equation P(x)
- a cereal company has a cost unit function of C(x)=-1/4x^2+12x+100. what is the marginal cost of producing 6 boxes of cerealThe marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no fixed costs to consider. What is the total profit realized from producing 10 chairs?The total profit (in dollars) from the sale of x answering machines is P(x) = 20x – 0.3x² – 240. %3D (A) Find the exact profit from the sale of the 26th machine. Exact Profit on 26th machine = (B) Use the marginal profit to approximate the profit from the sale of the 26th machine. Approx. profit on 26th machine =
- Find Cost Function C'(x)=x4+4$ 81 units Cost $ 1,629Suppose that the cost in dollars) for a company to produce x items is C(x) = 15, 000 + 2x + 0.02x ^ 2 + 0.007x ^ 3 Find the marginal cost of production when x = 50 and compare this with the actual cost of producing the 51" item.You have been placed in charge of minimizing costs on a production line. The cost model is C=100x-12^2+3x^3. The variable x represents the level of production for the given cost. Determine the production level that minimizes the average cost. A.) Find the marginal cost. (Divide by x and take 1st derivative) B.) What is the production level?
- The weekly cost of producing x key chains is given by the function C(x)=2000+25x+0.1x^2 . Find the marginal average cost function.The cost of producing x units of a commodity is given by C(x)=140+16x−0.7x^2. Find the marginal cost function.The total cost (in dollars) of producing x golf clubs per day is given by the formula C(x) = 450 + 100x – 0.6x2. (A) Find the marginal cost at a production level of x golf clubs. C'(x) = (B) Find the marginal cost of producing 35 golf clubs. Marginal cost for 35 clubs =