A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulati
ons to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . What is the maximum profit that she can earn?
This can be obtained by distributing the maximum allowed 15 gallons of pesticide into 6 gallons for 3 acres of Soybeans and 9 gallons also for 3 acres of corn.
With this, we will have:
P = (4000 * 3) + (3000 * 3) = $21,000
Note: See the attached excel file for the full calculation.
