SOLUTION: Formulate but do not solve the following exercise as a linear programming problem. A farmer plans to plant two crops, A and B . The cost of cultivating crop A is $45/acre where

SOLUTION: Formulate but do not solve the following exercise as a linear programming problem. A farmer plans to plant two crops, A and B . The cost of cultivating crop A is $45/acre where

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Question 1020057: Formulate but do not solve the following exercise as a linear programming problem.
A farmer plans to plant two crops, A and B . The cost of cultivating crop A is $45/acre whereas that of crop B is $65/acre. The farmer has a maximum of $8640 available for land cultivation. Each acre of crop A requires 18 labor-hours, and each acre of crop B requires 27 labor-hours. The farmer has a maximum of 3546 labor-hours available. If she expects to make a profit of $150/acre on crop A and $200/acre on crop B, how many acres of each crop, x and y, respectively, should she plant in order to maximize her profit, P?

---Select--- Maximize or Minimize P = ?? subject to the constraints
cost ??

labor ??

x ≥ 0
y ≥ 0

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Maximize

Subject to:

(cultivation cost)

(labor)

(non-negative)

(non-negative)

The optimal solutions just happen to be integers, so there is no need to constrain the variables to the integers.

John

My calculator said it, I believe it, that settles it

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