Question

In: Operations Management

Jessica’s Catering Service bakes and delivers lasagnas to parties and group meetings. In a typical week,...

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?


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