PROBLEM NUMBER 1 A farmer can plant up to 8 acres of land with wheat and barley. He can earn $5,000 for every acre he plants with wheat and $3,000 for every acre he plants with barley. His use of a necessary pesticide is limited by federal regulations to 10 gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 gallon per acre. SOLUTION TO PROBLEM NUMBER 1 let x = the number of acres of wheat let y = the number of acres of barley. let p = total profit that can be earned. What are the optimum points (x,y) of this problem?
PROBLEM NUMBER 1 A farmer can plant up to 8 acres of land with wheat and barley. He can earn $5,000 for every acre he plants with wheat and $3,000 for every acre he plants with barley. His use of a necessary pesticide is limited by federal regulations to 10 gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 gallon per acre. SOLUTION TO PROBLEM NUMBER 1 let x = the number of acres of wheat let y = the number of acres of barley. let p = total profit that can be earned. What are the optimum points (x,y) of this problem?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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PROBLEM NUMBER 1
A farmer can plant up to 8 acres of land with wheat and barley. He can earn $5,000 for every acre he plants with wheat and $3,000 for every acre he plants with barley. His use of a
necessary pesticide is limited by federal regulations to 10 gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 gallon per acre.
SOLUTION TO PROBLEM NUMBER 1
let x = the number of acres of wheat
let y = the number of acres of barley.
let p = total profit that can be earned.
What are the optimum points (x,y) of this problem?
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