Reference no: EM132289470

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 considerable more labor than permitting the olives to grow on their own and results in smaller olive size. 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 olives by the normal process requires only 2 hours of labor, but takes 2 acres of land. An olive grower have 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 tress 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). a.) The number of barrels of regular olives for the above model's optimal solution is: b.) The amount of labor hours slack generated by the model's solution is: c.) The amount of land acres slack generated by the model's solution is: d.) The total profit for the above model's optimal solution is: