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Algebra/linear equations

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Question
a fruit grower has 200 acres of land available to raise two crops, A and B. It takes 1 day to trim an acre of crop A and 2 to trim an acres of crop B, and crop and 0.1 day to pick an acre of crop B,and there  are 30 days available for picking. The profit is $120 per acre for crop A and $200 for crop B. Find the number of acres of crop A to planted and let y be the number of acres of crop B to be planted.Formulate but do not solve the linear programming problem.

Answer
Let x=# of acres of Crop A
... y=# of acres of Crop B

"<=" means "less than or equal to"
x + y <= 200
1x + 2y <= ???, you did not indicate the # of days for trimming!
?x + 0.1y <= 30, you did not indicate how long it takes to pick an acre of Crop A

x >= 0 and y >= 0

Maximize Profit, P = 120x + 200 y

Algebra

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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