I have the following model set up which i understand:

Maximize Z=50X1+5X2 subject to:

3x1+5x2 <= 150

10x1+4x2 <= 200

x1,x2 >= 0

the answer to the problem is Problem

Solution: 10.5 Coats

and 23.7 pairs of slacks

. Total profit= $1,473

I need help solving how the 10.5 and 23.7 were found without the help of a graph.