TABLE 31. Cumulative Frequency of
Prospective Sales
Number of units Cumulative
demanded frequency
3050 0.0 5
3150 0.1 5
3250 0.5 0
3350 0.7 5
3450 0.9 0
3550 1.0 0
- Prepare a histogram of the frequency distributions
Plot the cumulative-frequency values in Fig. 35. Draw horizontal and vertical lines as
shown. The relative frequency of a given value of the prospective sales is represented by
the length of the vertical line directly above the value.
- Select random numbers for the solution
Refer to a table of random numbers. Select the first 10 numbers found in the table. Enter
these numbers in the second column of Table 32. (In actual practice, a larger quantity of
random numbers would be selected.)
- Use the random numbers in the solution
Consider each random number as a cumulative frequency. Refer to the histogram, Fig. 35,
to find the volume of orders corresponding to this value of the random number. Then,
draw a horizontal through the random-number value of 0.488 on the vertical axis of Fig.
- This line intersects the vertical that lies above the value of 3250 on the horizontal axis.
Therefore, enter in Table 32 the value of 3250 opposite the random number 0.488.
- Repeat steps 3 to 5 for the shipping capacity
Enter the results in Table 32 in the same manner as for the units demanded, step 5.
TABLE 32. Simulated Values of Prospective Sales and
Shipping Capacity
Random Number of Random Shipping
Week number units demanded number capacity
1 0.488 3250 0.339 3375
2 0.322 3250 0.697 3425
3 0.274 3250 0.031 3325
4 0.557 3350 0.052 3325
5 0.931 3550 0.506 3425
6 0.986 3550 0.865 3475
7 0.682 3350 0.948 3475
8 0.179 3250 0.308 3375
9 0.881 3450 0.218 3375
10 0.834 3450 0.367 3375
