his question related with Linear Programming Course 2-A firm produces two different products; Alpha and Beta, and each product is produced after a three stage manufacturing process; assembly, paint and packaging. The time available for these manufacturing stages is limited and the firm has 1,000 minutes of assembly time, 500 minutes of paint and 1,200 minutes of packaging time available each week. Manufacturing times required for the products are given in the table below. Alpha (mins) Beta(mins) Assembly 2 1 Paint 1 1 Packaging 4 1 It is also known that market conditions will limit the sale of Alpha product to 300 or less each week. Total cost of producing Alpha is 12TL each and for Beta 13TL each. Selling price of Alpha is 18TL each and for Beta 17TL each. a) As the manager of this firm, formulate a linear programming model to maximize weekly profit. b) Solve the linear programming model graphically.
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This question related with Linear Programming Course
2-A firm produces two different products; Alpha and Beta, and each product is produced after a three stage manufacturing process; assembly, paint and packaging. The time available for these manufacturing stages is limited and the firm has 1,000 minutes of assembly time, 500 minutes of paint and 1,200 minutes of packaging time available each week. Manufacturing times required for the products are given in the table below.
| Alpha (mins) | Beta(mins) | |
| Assembly | 2 | 1 |
| Paint | 1 | 1 |
| Packaging | 4 | 1 |
It is also known that market conditions will limit the sale of Alpha product to 300 or less each week. Total cost of producing Alpha is 12TL each and for Beta 13TL each. Selling price of Alpha is 18TL each and for Beta 17TL each.
a) As the manager of this firm, formulate a linear programming model to maximize weekly profit.
b) Solve the linear programming model graphically.
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