Formulate and solve a Linear Program for the following problem: A company makes both wooden tables and chairs which each require cutting machine time and sanding machine time (both in minutes) to be created. Once created they retail for the costs shown in the table. There are only 68 hours of cutting machine time and 96 hours of sanding machine time available. Also, they are sold in sets of four chairs to one table so any made over that ratio would go unsold.

How many Tables and chairs can be produced? what is the profit?

Formulate and solve a Linear Program for the following problem: A company makes both wooden tables and chairs which each require cutting machine time and sanding machine time (both in minutes) to be created. Once created they retail for the costs shown in the table. There are only 68 hours of cutting machine time and 96 hours of sanding machine time available. Also, they are sold in sets of four chairs to one table so any made over that ratio would go unsold. Cutting Sanding Retail Chair 12 15 12 Table 27 60 42 O 1.48 Tables, 192 chairs O 2.37 tables, 149 chairs O 3.50 tables, 200 chairs O 4.42 tables, 168 chairs