4. Two types of chairs are made in departments A and B. It requres 1 hour in each department to make a lounge chair, but making a swivel chair takes 1 hour in department A and 2 hours in department B. Department A has 6 hours of time available, and B has 8 hours available. If the profit per lounge chair (x) is $1 and the profit per swivel chair (y) is $0.50, then the mathematical model is as follows: Subject to x+ y56 x+2 y<8 Nonnegativity constraints: x, y >0 Find the objective function and determine the values of x and y which maximize the profit and calculate the maximum profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Two types of chairs are made in departments A and B. It requres 1 hour in
each department to make a lounge chair, but making a swivel chair takes 1
hour in department A and 2 hours in department B. Department A has 6
hours of time available, and B has 8 hours available. If the profit per
lounge chair (x) is $1 and the profit per swivel chair (y) is $0.50, then the
5
mathematical model is as follows:
Subject to
x+ y56
x+2 y<8
Nonnegativity constraints: x, y 2 0
Find the objective function and determine the values of x and y which
maximize the profit and calculate the maximum profit.
Transcribed Image Text:4. Two types of chairs are made in departments A and B. It requres 1 hour in each department to make a lounge chair, but making a swivel chair takes 1 hour in department A and 2 hours in department B. Department A has 6 hours of time available, and B has 8 hours available. If the profit per lounge chair (x) is $1 and the profit per swivel chair (y) is $0.50, then the 5 mathematical model is as follows: Subject to x+ y56 x+2 y<8 Nonnegativity constraints: x, y 2 0 Find the objective function and determine the values of x and y which maximize the profit and calculate the maximum profit.
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