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| Linear Programming problem |
336337 |
12/17/05 |
I can't put this problem into a model. I hope that there is someone who has some time for me.
Company X produces the product A. Before A is finished, there're 3 processus. Proces 1, from the raw material to an intermediate product B. Proces 2, from intermdiate B to intermediate product C. And proces 3, from intermediate C to the final product A.
The maximum demand for product A in the next 4 weeks is:
week 1: 375
week 2: 570
week 3: 750
week 4: 480
Product A is sold at 350/unit
Company X can employ their labourers on a weekly contract at 250/week. Each labourer works 40 hours.
It takes 0.5 hour for a labourer to complete process 1 for 1 unit, 1 hour to complete process 2 for 1 unit, and 0.25 hour to complete process 3.
The company can employ maximum 12 people. And a labourer needs to do the same process a whole week, so it can't work on process one on monday and the next day continue with process 2.
The intermediate and final products can aslo be stored, the cost for storage is 40 a week for product A, 15 a week for product B and 20 a weel for product C. At the end of week 4 all storage must be sold.
I need to maximise the profit but I can't find it. It would be great if someone could help me. |
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