You manufacture two types of toys: for boys and girls. Each toy goes through 3 processes: grinding, polishing, and packaging. The grinding process requires 4 minutes for toys for boys and 2 minutes for toys for girls. The polishing process requires 2 minutes for toys for boys and 6 minutes for toys for girls. The packaging requires 4 minutes for toys for boys and 6 minutes for toys for girls. You have 28 minutes of grinding time, the polishing time is 30 minutes, and the finishing time available is 36 minutes. You make a profit of $2 on a toy for boys and a profit of $3 on toys for girls. Set up this problem as a linear programming problem. Define the objective in terms of maximization or minimization. Define the decision variables. Define the objective function in terms of decision variables. Write out the constraints in terms of decision variables
You manufacture two types of toys: for boys and girls. Each toy goes through 3 processes: grinding, polishing, and packaging. The grinding process requires 4 minutes for toys for boys and 2 minutes for toys for girls. The polishing process requires 2 minutes for toys for boys and 6 minutes for toys for girls. The packaging requires 4 minutes for toys for boys and 6 minutes for toys for girls. You have 28 minutes of grinding time, the polishing time is 30 minutes, and the finishing time available is 36 minutes. You make a profit of $2 on a toy for boys and a profit of $3 on toys for girls. Set up this problem as a linear programming problem. Define the objective in terms of maximization or minimization. Define the decision variables. Define the objective function in terms of decision variables. Write out the constraints in terms of decision variables
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:You manufacture two types of toys: for boys and
girls. Each toy goes through 3 processes: grinding,
polishing, and packaging. The grinding process
requires 4 minutes for toys for boys and 2 minutes
for toys for girls. The polishing process requires 2
minutes for toys for boys and 6 minutes for toys for
girls. The packaging requires 4 minutes for toys for
boys and 6 minutes for toys for girls. You have 28
minutes of grinding time, the polishing time is 30
minutes, and the finishing time available is 36
minutes. You make a profit of $2 on a toy for boys
and a profit of $3 on toys for girls. Set up this
problem as a linear programming problem.
Define the objective in terms of maximization or
minimization.
Define the decision variables.
Define the objective function in terms of decision
variables.
Write out the constraints in terms of decision
variables.
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