Question $1(8$ points$)$

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We are making $3$ products $(x1,x2,$ and $x3).$ The products require assembly, machine process $1,$ machine process $2,$ and painting. The following LP was developed for the problem.

Max $Z=15x_1+5x_2+25x_3$ Profit $

$ST$

$1\mathrm{.}5x_1+x_2+2x_{3}450$ Assembly time

$x_1+4x_{3}325$ Machine process $1(hours)$

$2\mathrm{.}2x_1+x_{2}325$ Machine process $2(hours)$

$x_1+\mathrm{.}8x_2+2x_{3}275$ Painting Time

All $x_{i}0$

$Z=$

A$.$