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- Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily production is 50 items. (a) What is the extra cost of increasing daily production from 50 to 51 items? (b) What is the marginal cost when x = 50?C(x)=.03x^3-.2x^2+12x+250 where c is given in dollars . Determine r(x) if items are sold at $120 each. Determine profit function. And determine and explain marginal profit for producing 25 unitsConsider the cost function C(x) = 5³. - 4 . What is the marginal cost at the production level = 2?
- The cost (in dollars) of producing 4 items is given by C(q) = 0.03q3 + 8lą + 1000. %3D (a) Find the marginal cost function. Click here to enter or edit your answer C'(q) = (b) Find C(/0) and C (70). Give units with your answers and explain what each is telling you about costs of production. C(70) = %3D C (70) = |3| A►27. It costs C(x)=√x dollars to produce x golf balls. What is the marginal production cost to make a golf ball? What is the marginal production cost when x = 25? When x= 100? (Include units.)Assume that it costs a company approximately C(x) = 400,000 + 120x + 0.002x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is ---Select--- O than the average cost from (b). This means that the average cost is ---Select--- O at a production level of 10,000 smartphones.
- 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?If the revenue function for a certain commodity is R(x) = 45x/lnx compute the marginal revenue when x = 40.The profit function for x units produced and sold is given by P(x) = -x2 + 48x - 210. Determine the marginal profit function, defined by P’(x).