Ch $20$ Assignment

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Problem $20-14($Algo$)$

Valentina's Pizza orders all of its pepperoni, olives, anchovies, and mozzarella cheese to be shipped directly from 'Italy. An American distributor stops by every seven weeks to take orders. Because the orders are shipped directly from Italy, they take six weeks to arrive.

Valentina's Pizza uses an average of $250$ pounds of pepperoni each week, with a standard deviation If $18$ pounds. Valentina's prides itself on offering only the best$-$quality ingredients and a high level of service, so it wants to ensure a $95$ percent probability of not stocking out on pepperoni.

Assume that the sales representative just walked in the door and there are currently $470$ pounds of pepperoni in the walk$-$in cooler. How many pounds of pepperoni would you order?

Note: Use Excel's NORMSINV$()$ function to find the correct critical value for the given $-$level. Do not round intermediate calculations. Round $"z"$ value to $2$ decimal places and final answer to the nearest whole number.

Amount of pepperoni to be ordered

pounds