Use the following information to answer the next few questio

Use the following information to answer the next few questions.

The seasonal yield of olives in Piraeus, Greece, vineyard is greatly influenced by the process of branch pruning. If olive trees are pruned every two weeks, output is increased. The pruning process, however, requires considerably more labor than permitting the olives to grow on their own and results in a smaller olive size. It also, though permits olive trees to be spaced closer together. The yield of one barrel of olives by pruning requires 5 hours of labor and one acre of land. An olive grower has 250 hours of labor available and a total of 150 acres for growing. Because of the olive size difference, a barrel of olives produced on prune trees shows a profit of $20, whereas a barrel of regular olives should be produced (hint: 1 pruned <=40)

1) This is a minimization model.

A) True

B) False

2) The model should be classified as deterministic.

A) True

B) False

3) This model has how many constraints? (excluding those for non-negativity)

A) 4

B) 2

C) 1

D) 3

4) What is the decision variable?

A) Pruned olives

B) Land

C) Regular olives

D) Labor

E) Pruned olives and regular olives

F) Labor and land

5) The models objective function is:

A) 1P + 2R <= 150

B) 1H + 2A <= 150

C) Z = 41P + 20R

D) 5H + 2A <= 250

E) Z = 20P + 41R

F) 5P + 2R <= 250

G) Z = 20H + 41A

6) The amount of land acres slack generated by the models pruned olives only solution is:

A) 110

B) 100

C) 90

D) 50

E) 0

7) The total profit for the above models pruned olives only solution is:

A) 3,075

B) 800

C) 2,140

D) 1,640

E) 2,275

8) The total profit for the above models regular olives only solution is:

A) 2,140

B) 2,275

C) 800

D) 1,640

E) 3,075

9) The amount of land acres slack generated by the models solution is

A) 175

B) 0

C) 15

D) 90

E) 100

10) The number of barrels of regular olives for the above models optimal solution

A) 75

B) 62.5

C) 40

D) 0

E) 25

Solution

(1)   True

(2) It is a deterministic model. Hence it is True

(3) This model has 4 constraints

(4)Decision variable is Pruned olives

(5) the model objective function is z=20H +41A

(6) The amount of land Acres slack generated by the models pruned olives only solution is 110

(7)The total profit for the above models pruned olives only solution is:2140

(8)The total profit for the above models regular olives only solution is 1640

(9)The amount of land acres slack generated by the models solution is 90

(10)The number of barrels of regular olives for the above models optimal solution 40