The best combination of barrels of pruned and regular

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 sells for $20, whereas a barrel of regular olives has a market price of $30. The grower has determined that because of uncertain demand, no more than 40 barrels of pruned olives should be produced. Use graphical LP to find (a) the maximum possible profit.

(b) The best combination of barrels of pruned and regular olives.

(c) The number of acres that the olive grower should devote to each growing process

 

Answer 1

For the following question, read the complete question from the assignment given and solve to provide the accurate answer by using the Graphical LP method. The seasonal outcome of olives in a Piraeus, Greece vineyard is highly affected by a procedure of branch pruning. If olive trees are pruned each two weeks, output is raised. The pruning procedure, though, needs considerably more labor as compare to permitting the olives to grow on their own and outcomes in a smaller size olive. Make use of graphical LP to determine: 1) The highest possible profit. 2) The best combination of barrels of pruned and regular olives. 3) The number of acres which the olive grower must devote to each and every growing procedure.