Question
The marginal cost for producing x units of a certain product is given by the formula MC = 0.001x^2-0.5x+66.5. A. What is the increase in the cost of the production if the production level is raised from 200 to 400 units? B. What is the average cost per item of producing 330 items.
Answers
marginal cost is the derivative of cost with x. the cost of one more at number x
so
integrate your function
C(x) = (.001/3)x^3 - (0.5/2)x^2 + 66.5 x + k
assume when x = 0, c = 0 so k = 0 (not really true because you have to set up to build the first one but you need that for part B)
at x = 400
C(400)=(.001/3)(400)^3 - (0.5/2)400^2 + 66.5 (400)
C(300) = same with 300
subtract
average = total C(330)/330
so
integrate your function
C(x) = (.001/3)x^3 - (0.5/2)x^2 + 66.5 x + k
assume when x = 0, c = 0 so k = 0 (not really true because you have to set up to build the first one but you need that for part B)
at x = 400
C(400)=(.001/3)(400)^3 - (0.5/2)400^2 + 66.5 (400)
C(300) = same with 300
subtract
average = total C(330)/330
The marginal cost for producing x units of a certain product is given by the formula MC = 0.001x^2-0.5x+66.5.
A. What is the increase in the cost of the production if the production level is raised from 200 to 400 units?
B. What is the average cost per item of producing 330 items.
A. What is the increase in the cost of the production if the production level is raised from 200 to 400 units?
B. What is the average cost per item of producing 330 items.
Related Questions
83.
Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of produc...
The marginal cost of a product can be thought of as the cost of producing one additional unit of out...
The marginal cost function is given by dc/dq=0.08q^2-1.8q+2.5 where c is the total cost in producing...