Operations Management: Homework Assignment $3$ Due on $11$:$59$pm$,$ Mar $27$th$,2024$

c$)$ Calculate the slack time of each activity and identify which activities are critical and which are not. $(2$ points$)$

Activity

A

B

C

D

E

F

G

H

ES

EF

LS

LF

Slack Time

Critical?

Q$3$ Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have one picnic basket that can only hold a certain capacity. Each of the items has a value and a size, and you cannot hold all your items in the basket. The picnic basket can hold a total size of $17.$ Given that the size and the value of items are as follows, how many of each item should you bring to maximize the total value?

Size

Value

$9$

Sandwich

$6$

Fruit

$3$

$4$

Drink

$4$

$6$

a$)$ List and explain carefully what the decision variables are. $(1$ point$)$

b$)$ Write out the objective function. $(1$ points$)$