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Grapes Peaches Bananas Max Load (tons) Truck 1 12% 10% 4% 40 Truck 2 12% 14% 5%

ID: 370699 • Letter: G

Question

Grapes

Peaches

Bananas

Max Load (tons)

Truck 1

12%

10%

4%

40

Truck 2

12%

14%

5%

50

Truck 3

16%

13%

6%

55

Truck 4

18%

17%

8%

75

Available (tons)

57

62

81

Price/ton

$500

$1,000

$1,750

Answer the following questions about the optimal solution:

Which constraints are binding?

Which constraints are non-binding? What does a non-binding constraint mean in the context of this problem?

For each fruit allocation, determine if this is a high-priority allocation or not, and explain why or why not you answered this way.

For each truck allocation, determine if this is a high-priority allocation or not, and explain why or why not you answered this way.

Grapes

Peaches

Bananas

Max Load (tons)

Truck 1

12%

10%

4%

40

Truck 2

12%

14%

5%

50

Truck 3

16%

13%

6%

55

Truck 4

18%

17%

8%

75

Available (tons)

57

62

81

Price/ton

$500

$1,000

$1,750

Explanation / Answer

Ans 1) Binding conditions are: