In: Operations Management
Jessica’s Catering Service bakes and delivers lasagnas to parties and group meetings. In a typical week, Jessica has around 40 orders. Each order involves a specific amount of the required lasagna in pounds. A small group would need about 20 pounds, whereas a large group would need almost triple that amount. The following table shows the different customer orders that have come in this week, grouped into eight categories by weight.
Job type |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Weight (pounds) |
20 |
25 |
30 |
35 |
40 |
45 |
50 |
55 |
Number |
10 |
5 |
4 |
7 |
3 |
9 |
2 |
1 |
15 points: Jessica has an inventory of 100 six-pound trays and 80 ten-pound trays. Although she appears to have enough capacity in her trays, she would like to plan her orders so that the amount of excess lasagna is kept to a minimum.
5 points: How many six-pound trays and ten-pound trays should Jessica use for each of the orders?
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Jessica has an inventory of 100 six-pound trays and 80 ten-pound trays. Although she appears to have enough capacity in her trays, she would like to plan her orders so that the amount of excess lasagna is kept to a minimum.
Formulae:
How many six-pound trays and ten-pound trays should Jessica use for each of the orders?