SOLUTION: Farmer Ted can grow cotton and corn on his 200 acres of land.Cotton needs 15 lbs of fertilizer and 15 lbs of pestisides per acre. Corn needs 20lbs of fertilizer and 5 lbs of pestis
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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 pestisides per acre. Corn needs 20lbs of fertilizer and 5 lbs of pestisides per acre. Farmer Ted can afford 3000 lbs of fertilzer and 1500 lbs of pestisides, and is trying to figure out how many acres of each crop to plant this season.
a. Define you varibles for this situation.
b. Use these varibles to write a system of inequalities describing the constraints on fertilzer and pestisides.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
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