Mathematical Communication Chapter 3.7 Rational Incqualities Planting Crops A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000 available for planting and $30,000 for fertilizer. Planting 1 acre of potatoes costs $90, and planting 1 acre of corn costs $50. Fertilizer costs $30 for 1 acre of potatoes and $80 for 1 acre of corn. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. Graph the feasible region. (b) Can the farmer plant 300 acres of potatoes and 180 acres of corn? (c) Can the farmer plant 150 acres of potatoes and 325 acres of corn?
Mathematical Communication Chapter 3.7 Rational Incqualities Planting Crops A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000 available for planting and $30,000 for fertilizer. Planting 1 acre of potatoes costs $90, and planting 1 acre of corn costs $50. Fertilizer costs $30 for 1 acre of potatoes and $80 for 1 acre of corn. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. Graph the feasible region. (b) Can the farmer plant 300 acres of potatoes and 180 acres of corn? (c) Can the farmer plant 150 acres of potatoes and 325 acres of corn?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Mathematical Communication
Chapter 3.7 Rational Inequalities
Planting Crops A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The
farmer has $40,000 available for planting and $30,000 for fertilizer. Planting 1 acre of potatoes costs
$90, and planting 1 acre of corn costs $50. Fertilizer costs $30 for 1 acre of potatoes and $80 for 1 acre
of corn.
(a) Find a system of inequalities that describes the number of acres of each crop that the farmer can
plant with the available resources. Graph the feasible region.
(b) Can the farmer plant 300 acres of potatoes and 180 acres of corn?
(c) Can the farmer plant 150 acres of potatoes and 325 acres of corn?
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