A Virginia Beach farmer has 480 acres of land on which to grow either corn or soybeans. He figures he has 800 hours labor available during the crucial summer season. The farm can expect a profit of $40 per acre on corn and $30 per acre soybeans. He knows that corn requires 2 hours per acre to r and soybeans require 1 hour per acre to raise. How many ac of each should he plant to maximize profit? What is his ma

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A Virginia Beach farmer has 480 acres of land on which to
grow either corn or soybeans. He figures he has 800 hours of
3) (а)
labor available during the crucial summer season. The farmer
can expect a profit of $40 per acre on corn and $30 per acre on
soybeans. He knows that corn requires 2 hours per acre to raise,
and soybeans require 1 hour per acre to raise. How many acres
of each should he plant to maximize profit? What is his maximum
profit
x+2
(b)
Graph the rational function R(x) =-
x² -4
(c)
Use the determinant or the Gaussian Elimination method to solve
2x +3y+z = -1
3x+3y + z = 1
2x + 4y+ z = -2
Transcribed Image Text:A Virginia Beach farmer has 480 acres of land on which to grow either corn or soybeans. He figures he has 800 hours of 3) (а) labor available during the crucial summer season. The farmer can expect a profit of $40 per acre on corn and $30 per acre on soybeans. He knows that corn requires 2 hours per acre to raise, and soybeans require 1 hour per acre to raise. How many acres of each should he plant to maximize profit? What is his maximum profit x+2 (b) Graph the rational function R(x) =- x² -4 (c) Use the determinant or the Gaussian Elimination method to solve 2x +3y+z = -1 3x+3y + z = 1 2x + 4y+ z = -2
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