Question:Goop Inc needs to order a raw
material to make a special polymer. The demand for...
Question
Goop Inc needs to order a raw
material to make a special polymer. The demand for...
Goop Inc needs to order a raw
material to make a special polymer. The demand for the polymer is
forecasted to be normally distributed with a mean of 200 gallons
and a standard deviation of 100 gallons. Goop sells the polymer for
$26 per gallon. Goop purchases raw material for $10 per gallon and
Goop must spend $6 per gallon to dispose of all unused raw material
due to government regulations. (One gallon of raw material yields
one gallon of polymer.) If demand is more than Goop can make, then
only what has been made can be sold, and the remaining demand is
lost.
If a part of the question
specifies whether to use Table 13.4, or to use Excel, then credit
for a correct answer will depend on using the specified
method.
a.
How many gallons should Goop
purchase to maximize its expected profit?
b.
Suppose Goop purchases 125
gallons of raw material. What is the probability that it will run
out of raw material? Use Table 13.4.
(Round
your answer to 4 decimal places.)
c.
Suppose Goop purchases 275
gallons of raw material. What is the expected sales (in gallons)?
Use Table 13.4.
(Round
your answer to 2 decimal places.)
d.
Suppose Goop purchases 400
gallons of raw material. How much should it expect to spend on
disposal costs (in $s)? Use Table 13.4.
(Round
your answer to 2 decimal places.)
e.
Suppose Goop wants to ensure
that there is a 94% probability that it will be able to satisfy the
customer’s entire demand. How many gallons of the raw material
should it purchase? Use Table 13.4.