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2 years ago

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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 fo

r $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)

1 answer:

Helga [31]2 years ago

8 0

Answer:

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

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

Step-by-step 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:

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

$C(x) = 128 + 9 x$

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Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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2) Part a

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Now we have everything in order to replace into formula (1):

$400-2.58\frac{80}{\sqrt{15}}=346.708$

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For this case we don't know the population deviation so we need to use the t distribution instead the normal standard distribution.

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

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Now we have everything in order to replace into formula (1):

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