# Assignment 1: Jet Copies Case Problem Essay

818 Words Aug 26th, 2013 4 Pages
Assignment 1: JET Copies Case Problem
Rose Leahy
Strayer University
Quantitative Methods-MAT540

Dr. Patricia DeJarnett

July 21, 2013

Assignment 1: JET Copies Case Problem

Read the “JET Copies” Case Problem on pages 678-679 of the text. Using simulation estimate the loss of revenue due to copier breakdown for one year, as follows:

In Excel, use a suitable method for generating the number of days needed to repair the copier, when it is out of service, according to the discrete distribution shown.

In Excel, use a suitable method for simulating the interval between successive breakdowns, according to the continuous distribution shown.

In Excel, use a suitable method
They decided that if the loss of revenue due to machine downtime during the first year is greater than or equal to \$12,000, then they should purchase the back-up copier. They decided to conduct a manual simulation of this process for one year to see if the model was working correctly. Repair Time | Repair Time | Cumulative Probability | RN Ranges | y (days) | P(y) | | | 1 | 0.2 | .2 | 01-20 | 2 | 0.45 | .65 | 21-65 | 3 | 0.25 | .90 | 66-90 | 4 | 0.10 | 1.00 | 91-99, 000 |

The probability function for time between repairs, f(x), is, f(x) = x/18, 0 <= x <= 6 and, r = x^2/36; x2 = 36r; x = 6*sqrt of r. The probability function for daily demand is developed by determining the linear function for the uniform distribution, which is, f(z) = 1 / b – a which equals 1/6; z = 6r + 2.
The Simulation itself would be for 52 weeks. I began with a Random Number chosen using the random number generation in Excel (r1) which was multiplied by column 2, the Time Between Breakdown formula of 6*square root of r1. The sum of those variables was then in a cumulative list in column 3. In column 4 I generated another random number to calculate the column 5 Repair time in y days. That r2 was used in column 5 for Repair Time in y days which was

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