Set up the linear programming problem. Do not attempt to solve it. (See Example 1.) An import company obtains a license to import up to 180 pieces of hand-carved furniture. The importer may import chests, desks, and silverware boxes. The cost, volume, and profit are the following: Silverware Box Desk Chest $250 $320 $90 $160 $300 $50 7 12 1.5 The import company may purchase up to $4000 worth of furniture, and the furniture must all fit into a 1200-cubic-foot shipping container. Find the number of each type of furniture that should be ordered so that profit is maximum. (Let x₁ represent the number of chests, x₂ the number of acres of desks, x3 the number of silverware boxes, and z the profit in dollars.) ---Select--- Z= cost limitation Cost Profit Volume (cubic feet) space limitation maximum number allowed " subject to x₁ ≥ 0, X₂ ≥ 0, X3 ≥ 0
Set up the linear programming problem. Do not attempt to solve it. (See Example 1.) An import company obtains a license to import up to 180 pieces of hand-carved furniture. The importer may import chests, desks, and silverware boxes. The cost, volume, and profit are the following: Silverware Box Desk Chest $250 $320 $90 $160 $300 $50 7 12 1.5 The import company may purchase up to $4000 worth of furniture, and the furniture must all fit into a 1200-cubic-foot shipping container. Find the number of each type of furniture that should be ordered so that profit is maximum. (Let x₁ represent the number of chests, x₂ the number of acres of desks, x3 the number of silverware boxes, and z the profit in dollars.) ---Select--- Z= cost limitation Cost Profit Volume (cubic feet) space limitation maximum number allowed " subject to x₁ ≥ 0, X₂ ≥ 0, X3 ≥ 0
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. (See Example 1.)
An import company obtains a license to import up to 180 pieces of hand-carved furniture. The importer may import chests, desks, and silverware boxes. The cost, volume,
and profit are the following:
Silverware
Box
Desk
Chest
$250
$160
$90
$320
$300
$50
7
12
1.5
The import company may purchase up to $4000 worth of furniture, and the furniture must all fit into a 1200-cubic-foot shipping container. Find the number of each type of
furniture that should be ordered so that profit is maximum. (Let x₁ represent the number of chests, x₂ the number of acres of desks, x3 the number of silverware boxes, and
z the profit in dollars.)
---Select--- V|Z =
cost limitation
Cost
Profit
Volume (cubic feet)
space limitation
maximum number allowed
subject to
X₁ ≥ 0, X₂ ≥ 0, X3 ≥ 0
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