The cost, C, to produce b baseball bats per day is modeled by the function C (b) = 0.06b2 - 7.2b + 390. What number of bats should be produced to keep costs at a minimum?

A. 27 bats

B. 60 bats

C. 174 bats

D. 390 bats

Question

Mathematics

Maggie Taylor

2 June, 08:22

The cost, C, to produce b baseball bats per day is modeled by the function C (b) = 0.06b2 - 7.2b + 390. What number of bats should be produced to keep costs at a minimum?

A. 27 bats

B. 60 bats

C. 174 bats

D. 390 bats

+2

Answers (1)

Know the Answer?

Giovanni Pitts · Answer 1

To determine the number of bats that should be produced for the minimum cost, differentiate the given equation and equate to zero.

dC (b) / dt = (0.06) (2) b - 7.2

0 = 0.12b - 7.2

The value of b from the derived equation is 60. Therefore, the company should produced 60 bats for the minimum cost. Thus, the answer is letter B.

The cost, C, to produce b baseball bats per day is modeled by the function C (b) = 0.06b2 - 7.2b + 390. What number of bats should be produced to keep costs at a minimum?A. 27 batsB. 60 batsC. 174 batsD. 390 bats

The cost, C, to produce b baseball bats per day is modeled by the function C (b) = 0.06b2 - 7.2b + 390. What number of bats should be produced to keep costs at a minimum?

A. 27 bats

B. 60 bats

C. 174 bats

D. 390 bats