Chapter 7: Linear Programming 1. A company uses sedans and minivans to produce custom vehicles for transporting hotel guests to and from airports. Plant A can produce 10 sedans and 8 minivans per week, and Plant B can produce 8 sedans and 6 minivans per week. How many weeks should each plant operate in order to produce at least 400 sedans? Express the answer as a linear inequality. Then, draw the graph and shade the feasible/solution region.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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LINEAR PROGRAMMING

Chapter 7: Linear Programming
1. A company uses sedans and minivans to produce custom vehicles for
transporting hotel guests to and from airports. Plant A can produce 10 sedans
and 8 minivans per week, and Plant B can produce 8 sedans and 6 minivans per
week. How many weeks should each plant operate in order to produce at least
400 sedans? Express the answer as a linear inequality. Then, draw the graph and
shade the feasible/solution region.
2. Find the duals.
a) Maximize Z = 2x1+ X2- X3
subject to:
2x1 + 2x2 s 3
-X1+ 4x2 + 2x3 <5
X1, X2, X3 2 0
Transcribed Image Text:Chapter 7: Linear Programming 1. A company uses sedans and minivans to produce custom vehicles for transporting hotel guests to and from airports. Plant A can produce 10 sedans and 8 minivans per week, and Plant B can produce 8 sedans and 6 minivans per week. How many weeks should each plant operate in order to produce at least 400 sedans? Express the answer as a linear inequality. Then, draw the graph and shade the feasible/solution region. 2. Find the duals. a) Maximize Z = 2x1+ X2- X3 subject to: 2x1 + 2x2 s 3 -X1+ 4x2 + 2x3 <5 X1, X2, X3 2 0
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