Question

A contractor wants to rent a wood chipper from Acme Rental for a day for $118 plus $11 per hour or from Bell Rental for a day for $128 plus $9 per hour. Find a cost function in dollars for using each rental firm. (Let x be the number of hours for which the wood chipper is rented.) Acme C(x)

Answer 1

`C(x) = 118 + 11 x` -- Acme

`C(x) = 128 + 9 x` --- Bell

Explanation:

Given

Acme:

`Daily = 118`

`Hourly = 11`

Bell:

`Daily = 128`

`Hourly = 9`

Required

Determine the cost function for both

The cost function can be determined using the following illustrations:

Daily Rate + Hourly Rate * Number of Hours

Represent the number of hours with x

So, we have:

For Acme:

`C(x) = 118 + 11 * x`

`C(x) = 118 + 11 x`

For Bell:

`C(x) = 128 + 9 * x`

`C(x) = 128 + 9 x`