The management of ThermoMaster Company, whose Mexican subsidiary manufactures an indoor-outdoor thermometer, has estimated that the total weekly cost (in dollars) for producing x thermometers is represented by the following function.

C(x) = 3100 + 6x

(a) Find the average cost function C.
C(x) =

(b) Find the marginal average cost function C ' .
C ' (x) =

The average cost function is .

The marginal average cost function is .

Step-by-step explanation:

If is the cost function for some item then the average cost function is,

The marginal average cost function is the derivative of the average cost function.

We have that the total weekly cost function is

Applying the above definitions, we get that:

The average cost function is

The marginal average cost function is

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

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