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?

Number of bats should be produced to keep costs at a minimum is 60.            

Step-by-step explanation:

Given : The cost, C, to produce b baseball bats per day is modeled by the function .

To find : What number of bats should be produced to keep costs at a minimum?

Solution :

Function in quadratic form is

To determine the minimum point we apply the formula of quadratic equation is

On comparing with given model, a=0.06 , b=-7.2 , c=390

The minimum point is at

i.e. The minimum number of bats per day is 60.

The cost at b=60 is

The minimum cost is $174 and minimum number of bats is 60.

We can also determine through graph.

Refer the attached figure below.

1

step-by-step explanation:

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