2. A fruit grower has 150 acres of land available to raise two crops, A and B. it takes 1 day to trim an acre of crop of A and 2 days to trim an acre of crop B, and there are 240 days per year available for trimming. It takes 0.3 day to pick an acre of crop A and 0.1 day to pick an acre of crop B, and there are 30 days per year available for picking. Find the number of acres of each fruit that should be planted to maximize profit, assuming that the profit is P1,400 per acre for crop A and P2,350 per acre for crop B.
2. A fruit grower has 150 acres of land available to raise two crops, A and B. it takes 1 day to trim an acre of crop of A and 2 days to trim an acre of crop B, and there are 240 days per year available for trimming. It takes 0.3 day to pick an acre of crop A and 0.1 day to pick an acre of crop B, and there are 30 days per year available for picking. Find the number of acres of each fruit that should be planted to maximize profit, assuming that the profit is P1,400 per acre for crop A and P2,350 per acre for crop B.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Write the correct mathematical models for the objective functions and constraints.
Transcribed Image Text:2. A fruit grower has 150 acres of land available to raise two crops, A
and B. it takes 1 day to trim an acre of crop of A and 2 days to trim an
acre of crop B, and there are 240 days per year available for
trimming. It takes 0.3 day to pick an acre of crop A and 0.1 day to pick
an acre of crop B, and there are 30 days per year available for
picking. Find the number of acres of each fruit that should be planted
to maximize profit, assuming that the profit is P1,400 per acre for
crop A and P2,350 per acre for crop B.
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