A 30-acre orchard is to contain two types of trees: peach and almond. The profit per year for each peach tree is $18 and $22 for each almond tree. One acre of land can sustain 1080 peach trees or 900 almond trees. If the grower has avail- able labor to plant a maximum of 45,000 trees, how many of each type of tree should be planted to maximize profits? Your solution written in the sketchpad below should provide the following: ⚫ the system of inequalities that represents the constraints (given and implied) in the problem; • a graph of the system of inequalities representing the constraints; ⚫ the locations of the critical points of the feasible region and any calculations necessary to determine them; ⚫ the objective function and calculations made using it; and ⚫ a complete statement of the solution that answers the question asked in the problem.

A 30-acre orchard is to contain two types of trees: peach and almond. The profit per year for each peach tree is $18 and $22 for each almond tree. One acre of land can sustain 1080 peach trees or 900 almond trees. If the grower has avail- able labor to plant a maximum of 45,000 trees, how many of each type of tree should be planted to maximize profits? Your solution written in the sketchpad below should provide the following: ⚫ the system of inequalities that represents the constraints (given and implied) in the problem; • a graph of the system of inequalities representing the constraints; ⚫ the locations of the critical points of the feasible region and any calculations necessary to determine them; ⚫ the objective function and calculations made using it; and ⚫ a complete statement of the solution that answers the question asked in the problem.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...

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