The cost function for the manufacture of x number of goods by a company is C(x) = x3-9x2+24x. Find the level of output at which marginal cost is minimum. Further, if the selling price of a unit is 2x3+9x2, find the average profit.

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?.

A street musician bought a new fiddle for $850.00. Assume she breaks 1 string each hour and can buy new strings for $1.00 each. On average, she makes $18.00 per hour. (a) Find the cost function C(x) associated with playing the fiddle for x hours. C(x)= (b) Find the revenue function R(x) for the amount of revenue gained from x hours of playing R(x) = (c) Find the profit function P(x) for the amount of profit gained from x hours of playing P(x) = (d) Use the functions above to complete the following sentence. She will need to work hours to break even

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

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.

(a) Find the conditional input demand function for inputs 1 and 2, as well as the cost function for this firm. (b) What is the firm's marginal cost when it is producing y units of output?

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.)

The HAC at Humberview has decided to sell Gatorade to raise money.  The demand function is described by  px=-4x+340 , where x is the number of bottles, in hundreds, and px is in dollars.  The cost function, in dollars, is described by Cx=300x-275.  Determine the number of Gatorade bottles they must sell so that they maximize their profit.

A farm produces rice, which is sold in 50 kilogram bags. Let Q denote the number of bagsproduced per week during harvest time. Costs C are denoted in units of dollars. The totalweekly cost function for producing the product is C = 4Q + 100. The total weekly income function for this product is I = 50Q – 2Q2. What is the profit function P as a function of Q and sketch it using P values 0, 5, 10,15, 20 and 25.

Marginal cost is defined as the change in total cost when: a) Total fixed cost increases b) Total variable cost decreases c) One more unit of output is produced d) Average cost decreases