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) Based on the information provided above, the method to solve this model is known as:
A) Quantitative methods
B) All are correct
C) Decision science
D) Management science
2) The model parameters are assumed to be certain
A) True
B) False
3) The model has how many decision variables?
A) 3
B) 2
C) 1
D) 4
4) The land constraint is
A) Z = 20P + 41R
B) Z = 20H + 41 A
C) Z= 41P +20R
D) 1P + 2R <= 150
E) 5H + 2A <=250
F) 1H + 2A <= 150
G) 5P + 2R <= 250
5) The labor constraint is
A) 1P + 2R <=150
B) 5P + 2R <= 250
C) Z = 20H + 41A
D) Z = 41P + 20R
E) Z = 20P + 41R
F) 1H + 2A <=150
G) 5H + 2A <= 250
6) The amount of labor hours slack generated by the models pruned olives only solution is
A) 90
B) 0
C) 110
D) 50
E) 100
7) The quantity for the above models regular olives only alternative is
A) 40
B) 150
C) 50
D) 75
E) 0
F) 125
8) The quantity for the above models pruned olives only alternative is
A) 50
B) 0
C) 150
D) 40
E) 125
F) 75
9) The number of barrels of pruned olives for the above models optimal solution is
A) 25
B) 62.5
C) 0
D) 75
E) 40
10) The amount of labor hours slack generated by the models solution is
A) 90
B) 100
C) 0
D) 175
E) 15