Question: PLEASE DO NOT SOLVE IT, JUST PLEASE PROVIDE THE SUMMATION OR SHORT FORM FOR OBJECTIVE FUNCTION AND CONSTRAINTS Towers Metallurgical Industries Co. produces a vast
PLEASE DO NOT SOLVE IT, JUST PLEASE PROVIDE THE SUMMATION OR SHORT FORM FOR OBJECTIVE FUNCTION AND CONSTRAINTS
Towers Metallurgical Industries Co. produces a vast range of screws. The company is introducing three new products for its consumer market. A twinfast screw (SKU KC048) is a type of screw that can be driven twice as fast as a normal screw with the same pitch. A wood screw (SKU SD231) is a screw with a sharp point designed to attach two pieces of wood together. Finally, a security screw (SKU MW845) is a type of screw whose head is impossible to reverse. The company's production manager is planning the scheduling of these three products on five machines. Each product can be manufactured on each of the machines. The unit production costs (in $) are shown below:
| Machine | |||||
| Product | 1 | 2 | 3 | 4 | 5 |
| Twinfast screw | 3.1 | 3.9 | 5.2 | 7.4 | 4.3 |
| Wood screw | 5.6 | 5.7 | 5.4 | 6.9 | 5.6 |
| Security screw | 10.6 | 8.4 | 8.1 | 7.9 | 8.5 |
The time (in hours) required to produce a unit of each product on each machine is shown below:
| Machine | |||||
| Product | 1 | 2 | 3 | 4 | 5 |
| Twinfast screw | 0.33 | 0.25 | 0.25 | 0.25 | 0.25 |
| Wood screw | 0.25 | 0.33 | 0.25 | 0.33 | 0.33 |
| Security screw | 0.75 | 0.50 | 0.50 | 0.75 | 0.50 |
You need to meet exactly the demand, which is 5000 units of Twinfast screws, 7600 units of Wood screws and 5500 units of Security screws. You are not allowed to produce more and keep those extra units in inventory. The available machine-hours are: Machine 1: 2600 hours Machine 2: 1250 hours Machine 3: 2500 hours Machine 4: 600 hours Machine 5: 2000 hours
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