Goop incorpocoted 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 300 gallons and a standard devlation of 100 gallons. Goop sells the polymer for $25 per gallon, Goop purchases raw material for $9 per gollion and must spend $7 per gallon to dispose of all unused raw material due to government. regulations. (One gallon of raw mateilal ylelds one gallon of polymer) If demand is more than Goop can make, then Goop sells only Whot it has made and the rest of the demand is lost. Use Table 13.4. Note: if a part of the question ipedfies whether to use Table 13.4, or to use Excel, then credit for a correct answer will depend on ining the specified method. a. How many gallons should Goop purchase to maximize its expected profit? Use Table 13.4. Note: Enter your answer as a whole number. b. Suppose Goop purchases 200 gallons of raw materlal. What is the probability that it will run out of raw material? Use Table 13,4 . Note: Round your answer to 4 decimal places. Suppose Goop purchases 350 galions of raw material. What are the expected sales (in gallons)? Use Table 13.4 and the round-up rule. Note: Round your answer to 2 decimal places