goop Inc. needs to order a raw material to make a special polymerthe demand for the polymer is forecasted to be normally distributed with a mean of $300$ gallons in a standard deviation of $100$ gallons goop sells the polymer for $$25$ per gallon group purchases raw material for eight dollars per gallon and must spend nine dollars per gallon to dispose of all unused raw material due to government regulations$1$ gallon of raw material. Ye yields $1$ gallon of polymer if demand is more than goop can make than goop cells only what it has made in the rest of the demand is lost.

c$.$ Suppose Goop purchases $400$ gallons of raw material. What are the expected sales $($in gallons$)?$ Use Table $13\mathrm{.}4$ and the round$-$up rule.

Note: Round your answer to $2$ decimal places.

Excepted sales

d$.$ Suppose Goop purchases $400$ gallons of raw material. How much should it expect to spend on disposal costs $($in dollars$)?$ Use Table $13\mathrm{.}4$ and the round$-$up rule.

Note: Round your answer to $2$ decimal places.

Disposal cost

$

$2,250\mathrm{.}00$

e$.$ Suppose Goop wants to ensure that there is a $94$ percent probability that it will be able to satisfy its customers' entire demand. How many gallons of the raw material should it purchase? Use Table $13\mathrm{.}4$ and the round$-$up rule.

Note: Enter your answer as a whole number.

Order quantity