Better Products, Inc. manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit are as follows: Category Product 1 Product 2 Product 3 Profit/Unit $30 $50 $20 Machine 1 time/unit 0.5 2.0 0.75 Machine 2 time/unit 1.0 1.0 0.5 Two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is required for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 20% of the units produced. a. Formulate the above as a LP problem with the ratio and other constraints and decision variables.
Better Products, Inc. manufactures three products on two machines. In a typical week,
40 hours are available on each machine. The profit contribution and production time in
hours per unit are as follows:
|
Category |
Product 1 |
Product 2 |
Product 3 |
|
Profit/Unit |
$30 |
$50 |
$20 |
|
Machine 1 time/unit |
0.5 |
2.0 |
0.75 |
|
Machine 2 time/unit |
1.0 |
1.0 |
0.5 |
Two operators are required for machine 1; thus, 2 hours of labor must be
of machine 1 time. Only one operator is required for machine 2. A maximum of 100 labor-hours
is available for assignment to the machines during the coming week. Other production
requirements are that product 1 cannot account for more than 50% of the units produced and
that product 3 must account for at least 20% of the units produced.
a. Formulate the above as a LP problem with the ratio and other constraints and decision
variables.
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