Question

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations 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?

Answer 1

Answer:

$21,000

Step-by-step explanation:

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.

Download xlsx