a company manufacture four variants of the same product and in the final part of the manufacturing process there are assembly, polishing and packing operations. for each variant the time required for these operations is show below (in minutes) as is the profit per unit sold.
Variant Assembly Polish Pack Profit
1 2 3 2 1.50
2 4 2 3 2.50
3 3 3 2 3.00
4 7 4 5 4.50