A manufacturer must decide how many chairs and tables to produce in a given week. It takes 2 hours to construct a chair and 3 hours to construct a table. The finishing process requires 2 hours for each chair and 2 hours for each table. There are 36 work hours available for construction and 28 work hours available for finishing. If the profit is $15 per chair and $25 per table, how many of each should be produced to maximize profit? Define your variables. y for chairs for tables
A manufacturer must decide how many chairs and tables to produce in a given week. It takes 2 hours to construct a chair and 3 hours to construct a table. The finishing process requires 2 hours for each chair and 2 hours for each table. There are 36 work hours available for construction and 28 work hours available for finishing. If the profit is $15 per chair and $25 per table, how many of each should be produced to maximize profit? Define your variables. y for chairs for tables
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:4. A manufacturer must decide how many chairs and tables to produce in a given week. It takes 2 hours to
construct a chair and 3 hours to construct a table. The finishing process requires 2 hours for each chair and 2
hours for each table. There are 36 work hours available for construction and 28 work hours available for
finishing. If the profit is $15 per chair and $25 per table, how many of each should be produced to maximize
profit?
Define your variables.
HO
8
Find the Profit or Objective Function.
Construction
Find the Constraint equations.
Do negatives make sense?
61
y
Pt d
for chairs
for tables
ho
21139036
X20
10 12 14 1618002 2
PCXIT ISXH59
The vertices of the feasible region.
y 20
finish 2x+2y ≤28
Y=
y=-2
3X+12
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