Question 165427
Farmer Ted can grow cotton and corn on his 200 acres of land.Cotton needs 15 lbs
 of fertilizer and 15 lbs of pesticides per acre. Corn needs 20lbs of fertilizer
 and 5 lbs of pesticides per acre. Farmer Ted can afford 3000 lbs of fertilizer
 and 1500 lbs of pesticides, and is trying to figure out how many acres of each
 crop to plant this season.
a. Define your variables for this situation.
:
Let x = no. of acres of cotton
Let y = no. of acres of corn
:
b. Use these variables to write a system of inequalities describing the constraints on fertilizer and pesticides.
:
Total acres equation (they didn't ask for this actually)
x + y =< 200
:
Fertilizer constraint
15x + 20y =< 3000
:
pesticide constraint
15x + 5y =< 1500