A supermarket uses a periodic review system to manage inventory of gallons of drinking water. Average demand is 152 gallons of water per day with standard deviation of 33 gallons per day. It costs $57 to order water from the supplier, and orders are delivered after 4 days. The holding cost for a gallon of water is $0.11 per year. The supermarket is open 360 days per year. If the supermarket aims for a 94.5% service level for gallons of drinking water (z = 1.6), what value should be used for T, the target inventory position at the time of ordering? The target inventory position is T= gallons.

$527.7.if the following was the question  $527.7 is the answer.students who are trying to raise funds have an agreement with a local pizza chain. the chain has agreed to sell them pizzas at a discount, which the students can then resell to families in the local community for a profit. it is expected that of the 500 families in the community, at most 70% will buy pizza. based on a survey of their personal preferences, the students believe that they should order no more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. they also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. they make a profit of $1.45, $1.75, and $1.98, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. how many pizzas of each type should they buy?

His ballance should be $65