Set up the linear programming problem. Do not attempt to solve it. The three most popular models at the Computer Store are the M-140, M-180, and P-210. The M-140 costs the store $910 and yields a profit of $380. The M-180 costs $1180 and yields a profit of $235. The P-210 costs $1200 and yields a profit of $400. The Computer Store projects maximum monthly sales of the computers to be a total of 190. The store does not want the inventory, based on their costs, to exceed $155,000. Find the number of each model computer that should be purchased to maximize profit. (Let x₁ represent the number of M-140 computers purchased, x₂ the number of M-180 computers purchased, x3 the number of P-210 computers purchased, and z the profit in dollars.) --Select-z= total number purchased value of inventory subject to X₁ ≥ 0, X₂ ≥ 0, X3 20
Set up the linear programming problem. Do not attempt to solve it. The three most popular models at the Computer Store are the M-140, M-180, and P-210. The M-140 costs the store $910 and yields a profit of $380. The M-180 costs $1180 and yields a profit of $235. The P-210 costs $1200 and yields a profit of $400. The Computer Store projects maximum monthly sales of the computers to be a total of 190. The store does not want the inventory, based on their costs, to exceed $155,000. Find the number of each model computer that should be purchased to maximize profit. (Let x₁ represent the number of M-140 computers purchased, x₂ the number of M-180 computers purchased, x3 the number of P-210 computers purchased, and z the profit in dollars.) --Select-z= total number purchased value of inventory subject to X₁ ≥ 0, X₂ ≥ 0, X3 20
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:Set up the linear programming problem. Do not attempt to solve it.
The three most popular models at the Computer Store are the M-140, M-180, and P-210. The M-140 costs the store $910 and yields a profit of $380. The M-180 costs $1180
and yields a profit of $235. The P-210 costs $1200 and yields a profit of $400. The Computer Store projects maximum monthly sales of the computers to be a total of 190.
The store does not want the inventory, based on their costs, to exceed $155,000. Find the number of each model computer that should be purchased to maximize profit. (Let
X₁ represent the number of M-140 computers purchased, x2 the number of M-180 computers purchased, x3 the number of P-210 computers purchased, and z the profit in
dollars.)
---Select---|Z =
total number purchased
value of inventory
I
subject to
4
X₁ ≥ 0, X₂ ≥ 0, X3 20
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