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- C(x) = 0.01x-0.3x + 10x gives the cost, in thousands of dollars, to produce x thousand items. (a) Find a formula for the marginal cost. (b) Find C'(0). Give units. (c) Graph the marginal cost function. Use your graph to find the minimum marginal cost, the production level for which the marginal cost is the smallest. (d) For what value of x does the marginal cost return to C'(0)? (a) Find a formula for the marginal cost. c'(x) =D (b) Find C'(0). Give units. c'(0) = (c) Use the derivative of the marginal cost function to find the minimum marginal cost, the production level for which the marginal cost is the smallest. The minimum marginal cost of additional dollars per item produced occurs when thousand items are produced. d) Recall your answer to part b. For what value of x does the marginal cost return to C'(0)? Marginal cost returns to this value of C (x) when x = items are produced.Suppose that the cost function for a commodity is C(x) = 40 + x2 dollars. (a) Find the marginal cost at x = 4 units. MC(4) = Tell what this predicts about the cost of producing 1 additional unit. The cost to produce the 5th unit is predicted to be $ (b) Calculate C(5) – C(4) to find the actual cost of producing 1 additional unit. Need Help? Read It Watch ItThe total cost (in dollars) of producing x food processors is C(x) = 1600 + 40x-0.1x². (A) Find the exact cost of producing the 61st food processor. (B) Use the marginal cost to approximate the cost of producing the 61st food processor. CHEO (A) The exact cost of producing the 61st food processor is $ (B) Using the marginal cost, the approximate cost of producing the 61st food processor is $
- Assume the cost of making 30 belts $800 the cost of makin 35 belts $900 and the cost equation is linear. The belts are sold for$ 27 each. a)find the marginal cost b)find a linear equation in slope-intercept, form that represent the total Cost of making will c) What is the fixed cost? d) find a profit in slope- intercept that will represent the profit if x belt are made and sold? e) Find the break even point?1. The cost in dollars to produce x yards of a certain fabric is: C (x) = 84 + 0.16x - 0.0006x2 + 0.000003x3 a)Find the marginal cost function b)Find C '(x) and explain its meaning. What do you forecast? c)Compare C '(100) with the cost of making the 101-th yard.Please add the total cost to produce the assembly
- A printer quotes a price of $7, 500 for printing 1,000 copies of a book and $15, 000 for printing 2,500 copies.Assuming a linear relationship and that 2000 books are printed:i. Find the equation relating the total cost y to x, the number of books printed.ii. What is the variable cost ?iii. What is the fixed cost ?iv. What is the variable cost per book ?v. What is the average cost per book ?vi. What is the marginal cost of the last book printed ?To produce the next popular toy, a company has to pay a factory $250, 000 to set up the production line. They also have to pay $25 per item for the raw materials and labor. Write function for the average cost to produce x items. Then describe what happens to the average cost as the factory produces a large number of toys.What is the total variable cost of 2 oil changes?
- What is the difference between a price analysis and a cost analysisPage of 2 ZO The marginal cost for a manufacturer of cherries is MC(q) = 0.06q° + 0.5g + 50 per necaton-cherry. Find the change in total cost for the manufacturer when production is increased from 40 hecaton-cherries to 50 hecaton-cherries.Please show the curve on the graph along with the plotted points and answer the two cost amounts at the bottom
