Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x)=7000+6x+0.01x^2+0.0002x^3. (a) Find the marginal cost function. (b) Find the marginal cost at x=100 (c) Find the cost at x=100

The cost function of a firm is given as C1 = 400 + 20Q + 4Q using this cost function what is the efficient scale of the firm?.

The production costs per week for producing x widgets is given by the function: C(x) = 500 + 10x +32 x 2. What is the marginal cost when x= = 300

The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced and sold?

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.

The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function. R'(x) = 4x (x²+25,000) (a) Find the total revenue function if the revenue from 120 devices is $34,166. (b) How many devices must be sold for a revenue of at least $50,000? (a) The total revenue function is R(x), given that the revenue from 120 devices is $34,166. (Round to the nearest integer as needed.) (b) devices must be sold to generate a revenue of at least $50,000 (Type a whole number.)

For the given cost function C(x) = 40000 + 700x + x² find: a) The cost at the production level 1700 b) The average cost at the production level 1700 c) The marginal cost at the production level 1700 d) The production level that will minimize the average cost e) The minimal average cost

Referring to the cost table above, what is the Marginal Cost of increasing quantity produced from 400 to 500 units?

The cost of producing a units of stuffed alligator toys is c(x) = 0.001x² + 8x + 7000. Find the marginal cost at the production level of 1000 units. dollars/unit