Question

The cost, C, to produce b baseball bats per day is modeled by the function. What number of bats should be produced to keep costs at a minimum

Answer 1

60

Explanation:

Take the function's first derivative

C'(b) = 0.12b -7.2

7.2 = 0.12b

b = 7.2 / 0.12

b = 60

Second derivative test

C''(b) = 0.12 (+).

for all values of b, the graph will be concave downwards, therefore is value is confirmed to be a minimum