Question: Solve this linear programming problem by graphing. Give all answers correct to at least 2 decimal places. A farmer has a 320 acre farm on

Solve this linear programming problem by graphing. Give all answers correct to at least 2 decimal places.

A farmer has a 320 acre farm on which she plants two crops: corn and soybeans. For each acre of corn planted, her expenses are $50 and for each acre of soybeans planted, her expenses are $150. Each acre of corn requires 100 bushels of storage and yields a profit of $60; each acre of soybeans requires 40 bushels of storage and yields a profit of $90.

(a) If the total amount of storage space available is 19200 bushels and the farmer has only $20000 on hand, how many acres of each crop should she plant in order to maximize her profit? acres of corn acres of soybeans (b) What will her profit be if she follows this strategy? $

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!