Wednesday

August 20, 2014

August 20, 2014

Posted by **tyler** on Tuesday, November 27, 2012 at 3:28pm.

a) what is the average cost function of A(x) = c(x)/x?

b)how many items should the manufacturer produce in order to minimize average cost?

c)what is the smallest average cost?

d) find c(x)

e) when does c(x) have a critical point? what is the average cost when c(x) has a critical point?

- quantitative analysis -
**Steve**, Tuesday, November 27, 2012 at 3:54pma(x) = c(x)/x = 10000/x + 5 + 1/9 x

da/dx = -1000/x^2 + 1/9

da/dx=0 when x = 30√10 = 94.868

a(94) = 121.8

a(95) = 120.8

so, it looks like the lowest average cost is at x=95

c(x) is a parabola whose vertex is at a negative x-value. So, there is no minimum cost.

**Related Questions**

calculus - 1. (30 points) Consider a manufacturer whose total cost of producing ...

Calculus - Consider a manufacturer whose total cost of producing x items is ...

Math - average rate problems(check + help) - The total cost, c, in dollars of ...

math - The function gives the cost to manufacture x items. C(x) = 20,000 + 5x &#...

Math - Can anyone help me with this? The marginal cost for items in dollars is ...

business and finance - The cost of producing a number of items x is given by C=...

Algebra - Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290...

Math - Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290 to...

math,correction - The problem states: In planning for a new item, a manufacturer...

math - Help I can go this far and then lost. In planning for a new item, a ...