G:dollars to manufacture x units of a device in an hour at one of their manufacturing centers. How many devices should be manufactured each hour to minimize average cost? .002x+160 units What is the resulting average cost of a device? $ How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ.

- How many devices should be manufactured each hour to minimize average cost? **21000** units.

- What is the resulting average cost of a device? $ 441160.001

- How does the average cost compare with the marginal cost at the optimal production level? Find how much they differ. $ 0.00

The marginal cost and the average cost are absolutely the same at the optimal cost.

Explanation:

C(x) = 441000 + 160x + 0.001x²

Average cost = (Total cost)/(number of units)

Average cost = (441000/x) + 160 + 0.001x

At minimum average cost,

dAC/dx = 0 (Note: AC means average cost)

dAC/dx = - 441000/x² + 0.001

when it is equal to 0

- 441000/x² = - 0.001

x² = 441000/0.01 = 441000000

x = 21000 units

Average cost of a device.

Average cost = (441000/x) + 160 + 0.001x

For one device, x = 1

average cost = (441000/1) + 160 + 0.001(1)

Average cost of a device = 441000 + 160 + 0.001 = $ 441160.001

At optimal level, that is, x = 21000 units

Average cost = (441000/x) + 160 + 0.001x = (441000/21000) + 160 + 0.001(21000) = $202

Marginal cost = dC/dx (Rate of change of total cost with the number of units)

C(x) = 441000 + 160x + 0.001x²

Marginal cost = (dC/dx) = 160 + 0.002x

At x = 21000 units

Marginal cost = 160 + 0.002(21000) = $202

The marginal cost and the average cost are absolutely the same at the optimal cost.

the assumption the narrator makes in this excerpt is that the messages he heards were going to hurt the narrator's mom; the narrator just springs in to action. the narrator doesn't specify in this excerpt why he believes that the messages present a problem that requires protection.

answer; intensive use of a sales force and is relatively costly;