Exercise $15\mathrm{.}28($Algo$)$ THE FRESH DETERGENT CASE

Consider the demand for Fresh Detergent in a future sales period when Erterprise industries price for Fresh will be $x-3.$ SA$,$ the Everage price of convetion's imilar debergents will be te $=4\mathrm{.}18,$ and Enterprise industies' adverising enpenditure for freih will be to $=6\mathrm{.}82.$ A $95$ percent prediction interval for this demand is given on the following mab corfact

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$($a$)$ Find and report the $95$ percent prediction interval on the output. If Enterprise industies plans to have in invertory the number of botties inplied by the upper linet of this interval, it can be very conflent that it with have enough bottles to meet demand for Fresh in the future sales period. How maty botties is this? If we multioly the number of botties inellied by the lower limat of the preficion interval by the price of fresh $(13\mathrm{.}84)$ we can be very contident that the resulting dollar arount will be the minimum revenue from Fresh in the finare sales period. What is this dollar amount?

Note: Round $95\%$ P$1$ to $4$ declmal places and dollar amoun and Level of invertory needed to the nearest whole number.

Dependent variable $y$ is in $10,000$ units.

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