Question

Marginal Average Cost for Producing Thermometers

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. Find the following functions (in dollars) and interpret your results.

C(x) = 3,500 + 6x

(a)

Find the average cost function C.

C(x) =  

(b)

Find the marginal average cost function C '.

C '(x) =  

interpret your results:

o Since the marginal average cost function is positive for x > 0the rate of change of the average cost function is positive for all x > 0.

o Since the marginal average cost function is negative for x > 0,the rate of change of the average cost function is negative for all x > 0.

o Since the marginal average cost function is positive for x > 0, the rate of change of the average cost function is negative for all x > 0.

o Since the marginal average cost function is negative for x > 0, the rate of change of the average cost function is positive for all x > 0.

Answer 1

The total weekly cast (in dollars) for producing a the amo meters is given by sest franction, IC(x) = 3500 ton? the foonnuela (a) To find average cost junction, we use e(n) = c(u) Therefore, Average cost function () = c(n) 35oo thu cen) = 3500 +67 (b) to 16) To find mauginal average cost function co read the decinative of average cost function C'(W) = a(ccm) 4 ( 3500+6) [elw)- 35.000 an du function is uel of ameran since the marginal average cost sou n o , the cate of change function is (-ve) for all uso ge Hopefully this helps !