Question

A pen manufacturer determined that the total cost in dollars of producing x dozen pens in...

A pen manufacturer determined that the total cost in dollars of producing x dozen pens in one day is given by C(x) = 350 + 2x - 0.01x2, 0 ≤ x ≤ 100 a. Find the expression for marginal cost. b. Find the level of output (x) where the marginal cost is minimum. c. Find the marginal cost at a production level of where the marginal cost is minimum

Homework Answers

Answer #1

If double derivative method doesn't work to calculate minimum maximum values, then, simply put maximum and minimum points available in range.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of...
Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by C(x) = 500 + 7x + 0.0003x2. Each racket can be sold at a price of p dollars, where p is related to x by the demand equation p = 10 − 0.0002x. If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer. Hint:...
The weekly cost (in dollars) of producing x compact discs is given by C(x) = 2000...
The weekly cost (in dollars) of producing x compact discs is given by C(x) = 2000 + 2x − 0.0001x^2, where x stands for the number of units produced. What is the actual cost incurred in producing the 1001st disc? What is the marginal cost when x = 1000?
The weekly cost (in dollars) of producing x compact discs is given by C(x) = 2000...
The weekly cost (in dollars) of producing x compact discs is given by C(x) = 2000 + 2x − 0.0001x^2 , where x stands for the number of units produced. What is the actual cost incurred in producing the 2001st disc? What is the marginal cost when x = 2000?
If C(x) is the cost of producing x units of a commodity, then the average cost...
If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) = C(x)/x. Consider the C(x) given below. Round your answers to the nearest cent. C(x) = 54,000 + 90x + 4x3/2 (a) Find the total cost at a production level of 1000 units. .......................................$ (b) Find the average cost at a production level of 1000 units. ................................dollars per unit (c) Find the marginal cost at a production level of 1000...
7. Suppose the cost, in dollars, of producing x items is given by the function C(x)...
7. Suppose the cost, in dollars, of producing x items is given by the function C(x) = 1/6x3+ 2x2+ 30. Current production is at x = 9 units. (a) (3 points) Use marginal analysis to find the marginal cost of producing the 10th unit. (b) (3 points) Find the actual cost of producing the 10th unit.
Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that...
Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by C'(x) = 0.0006x2 − 0.14x + 23 where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $700. (a) Find the total cost incurred by Ditton in producing the first...
Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that...
Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by C'(x) = 0.0006x2 − 0.14x + 25 where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $900. (a) Find the total cost incurred by Ditton in producing the first...
Minimizing Average Cost The total monthly cost (in dollars) incurred by a certain guitar manufacturer in...
Minimizing Average Cost The total monthly cost (in dollars) incurred by a certain guitar manufacturer in manufacturing x units of its Professional Series guitars is given by the function C(x) = 0.001x2 + 110x + 2250. (a) Find the average cost function C. C = (b) Determine the production level that will result in the smallest average production cost. x =
Suppose that the average cost, in dollars, of producing a shipment of a certain product is...
Suppose that the average cost, in dollars, of producing a shipment of a certain product is C(x) = 4,000x + 36,000 x ,    x > 0 where x is the number of machines used in the production process. (a) Find C'(x). C'(x) = Given the domain of x > 0, find the critical value of C(x). x = The critical value is a  ---Select--- relative minimum relative maximum . (b) Over what interval does the average cost decrease? (Enter your answer using...
The marginal cost of a product can be thought of as the cost of producing one...
The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For​ example, if the marginal cost of producing the 50th product is​ $6.20, it cost​ $6.20 to increase production from 49 to 50 units of output. Suppose the marginal cost C​ (in dollars) to produce x thousand mp3 players is given by the function Upper C left parenthesis x right parenthesis equals x squared minus 120 x plus 7500.C(x) =...