The seasonal yield of olives in a Piraeus, Greece vineyard is greatly influenced
ID: 3216982 • Letter: T
Question
The seasonal yield of olives in a Piraeus, Greece vineyard is greatly influenced by a 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 size olive. It also, though, permits olive trees to be spaced closer together. The yield of 1 barrel of olives by pruning requires 5 hours of labor and 1 acre of land. The production of a barrel of olives by the normal process requires only 2 labor hours but takes 2 acres 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 pruned trees shows a profit of 20$, whereas a barrel of regular olives shows a profit of 41$. The grower has determined that because of uncertain demand, no more than 40 barrels of pruned olives should be produced. (hint: 1 pruned <=40).
1. T/F This is a miniimization model
2. T/F The model paramaters are assumed to be certain.
3. The labor constrain is?
Z= 20H +41A
Z= 20P +41R
5P+2R <= 250
Z=41P + 20R
1H+2A<=150
5H+2A<=250
1P+2R<=150
4. The model has how many decisions variables?
1
2
3
4
5. The quanity for the above model's regular olives only alternative is?
75
40
0
150
50
6.The decision variables are
labor
labor and land
pruned olives and regular olives
pruned olives
land
regular olives
7. The amount of land acres slack generated by the model's pruned olives only solution is?
100
50
0
110
90
8. The amount of labor hours slack generated by the model's pruned olives only solution is?
0
110
50
100
90
9. The number of barrels of regular olives for the above model's optimal solution is?
25
62.5
40
0
75
10. The total profit for the above model's optimal solution is?
1640
2375
2275
3075
2140
Explanation / Answer
1. T/F This is a miniimization model - true
2. T/F The model paramaters are assumed to be certain.- true
3. The labor constrain is?
Z= 20H +41A
4. The model has how many decisions variables?
4
5. The quanity for the above model's regular olives only alternative is?
150
6.The decision variables are
pruned olives and regular olives
7. The amount of land acres slack generated by the model's pruned olives only solution is?
100
250-150=0100
8. The amount of labor hours slack generated by the model's pruned olives only solution is?
50
9. The number of barrels of regular olives for the above model's optimal solution is?
25
10. The total profit for the above model's optimal solution is?
1640