As parquet company produces $3$ types of parquet from pine and spruce materials. Parquet types are named as

modern, antique and classic and are expressed with the symbols $x1,x2,x3.$ Parquets are cut from plates and

compressed $($pressed$).$ The required resources are given in the linear programming model below. Find the optimum

solution with the simplex method. $($Score: $25)$

Zmax $=41+102+83(Gain)$

AKA

$51+42+43200(Pine-$ kilogram$)$

$21+52+23160(Ladin-$ kilogram$)$

$X11+,23$

$2+,50$

$X1.X2.30$