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Widgets. You are making large and small widgets. You were given the following eq

ID: 348887 • Letter: W

Question

Widgets. You are making large and small widgets. You were given the following equations.

Max      10L + 7S

Constraints

            3L + 2S <= 100

            L          >= 30

            L + S     >= 40

A

B

C

D

E

F

1

L

S

2

3

Rev/unit

4

5

#1

<=

6

#2

>=

7

#3

>=

8

Shipping: The front of your truck can handle 2000 pounds. The back of your truck can handle 3000 pounds. You need to transport boxes of gold and silver. Boxes cannot be split. You get $100 for each box of gold delivered. You get $40 for each box of silver delivered. You must deliver at least 10 boxes of each. A box of gold weighs 75 pounds. A box of silver weighs 35 pounds. How should you load the truck in order to maximize your revenue?

Question(s):

1. What number would you put into cell C5?

2. What number would you put into cell C3?

3. Which one is not a constarint?

A. 75GF + 35SF <= 2000

B. 75GB + 35SB <= 3000

C. 75 GB + 35SB >= 3000

A

B

C

D

E

F

1

L

S

2

3

Rev/unit

4

5

#1

<=

6

#2

>=

7

#3

>=

8

Explanation / Answer

1. C5 has coefficient of S in 1st constraint = 2

2. C3 has coefficient of S from revenue equation = 7

3. C is not a constraint since 3000 is an upper limit that the back of truck can handle and hence weight should be eithter less than or equal to 3000 and not greated than it

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