Question

Suppose that the dollar cost of producing x radios is c(x) = 400 + 20% - 0.2ˣ? Find the average cost per radio of producing the first 50 radios. Round to the nearest whole number.

A. $900
B. $850
C. $18
D. $500

Answer 1

To find the average cost per radio of producing the first 50 radios, we divide the total cost by the number of radios. The total cost is found by substituting x = 50 into the cost function c(x). The average cost per radio is calculated as the total cost divided by the number of radios.

Step-by-step explanation:

To find the average cost per radio of producing the first 50 radios, we need to divide the total cost by the number of radios. The total cost can be found by substituting x = 50 into the cost function c(x) = 400 + 20% - 0.2ˣ:

c(50) = 400 + 20% - 0.2(50) = 400 + 0.20 - 10 = 390

So, the total cost of producing the first 50 radios is $390. Now, we can calculate the average cost per radio:

Average cost per radio = Total cost / Number of radios = $390 / 50 = $7.80

Rounding this to the nearest whole number, the average cost per radio of producing the first 50 radios is $8.