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

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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.
Transcribed Image 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.
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