When solving the following model, use a piece of graph paper with each axis labelled from 0 to 300, and draw all lines within the 300 by 300 grid. A garment factory makes blouses and dresses. Each blouse gives a profit of $2, while each dress gives a profit of $3. They can sell at most 190 dresses. Each garment spends time on three machines as follows:

Minutes per Garment Minutes

Machine Blouse Dress Available

Cutting 3 6 1413

Sewing 6 2 1218

Assembly 5 4 1317

The number of dresses must be at least 30% of the total number of garments made.