3. A soap factory produces two types of soap. The production data is given in the following table. kgs of raw material Raw soap Raw Raw Material-1 Material-2 Material-3 1.4 1.0 0.8 Soap A Soap B...

Extracted text: 3. A soap factory produces two types of soap. The production data is given in the following table. kgs of raw material Raw soap Raw Raw Material-1 Material-2 Material-3 1.4 1.0 0.8 Soap A Soap B Storage restrictions on raw materials (kg) 3.0 0.6 1.5 25000 7000 12000 Both soaps are produced on the same machines and soap-A can be produced at a rate of 10 soap and soap-B at 8 soaps per hour. A total 750 machine hours are available in a given period of production. The profit per soap is 100 TL for soap-A and 200 TL for soap-B. Given that the company has firm orders for, and must produce at least 2000 of soap-A and that there is no demand for more than 3000 of soap-B. How many of each should be manufactured to maximize the profit? Formulate and solve the problem.