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?
