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Charlie’s Pizza orders all of its pepperoni, olives, anchovies, and mozzarella cheese to be shipped directly from Italy. An American distributor stops by every four weeks to take orders. Because the orders are shipped directly from Italy, they take three weeks to arrive. Charlie’s Pizza uses an average of 150 pounds of pepperoni each week, with a standard deviation of 30 pounds. Charlie’s prides itself on offering only the best quality ingredients and a high level of service, so it wants to ensure a 98 percent probability of not stocking out on pepperoni. Assume that the sales representative just walked in the door and there are currently 500 pounds of pepperoni in the walk-in cooler. How many pounds of pepperoni would you order?

Short Answer

Expert verified

Answer

The distributor should have the required market equity and should have solid relationships with the retailers.

Step by step solution

01

An American distributor stops by every four weeks to take orders

A distributor or dealer, one of the most frequent forms of business opportunity ventures, is an independent agent who has entered into an agreement to distribute and sell the product of another firm but is not permitted to use the manufacturer's name as part of its corporate name. Depending on the terms of the deal, the distributor may be restricted.

02

Calculation

Given,

Lets the units to be ordered of pepperoni be Q

Take orders (T) = 4 weeks

Arrive of order (L) = 3 weeks

Currently, the walk-in cooler (I) = 500 Pounds

Probability = 98 %

The average usage of pepperoni each week is 150 pounds (d)

Q = d (T+L) + zσT + L−I

Q =150 (3+4) + 2.05 (80) - 500

= 150(7) +2.05(80) -500

= 1050 + 164 -500

= 1214 – 500

= 714

The total no. of unit to be ordered is 714 pounds of pepperoni.

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