Problem 1. (50 point) A company manufactures 4 variants of the same table and in the final part of the manufacturing process there are 3 different operations, assembly, polishing and packing operations. For each variant the times takes for each operation (in minutes) are shown below as well the profit per each unit sold. Table Variant Assembly Polish Packing Profit ($) 1 2 3 2 15 2 4 2 3 25 3 3 4 2 30 5 45 4 3 7 In a certain month, the manufacturer has 10,000 minutes for assembly, 5,000 minutes for polishing and 6.000 minutes for packaging. How many each of table the company should make for maximizing the profit? What would be that maximum profit? Use SIMPLEX method to solve the problem.