An electronic company produces three types of parts for automatic machines. It purchases casting of the parts from the local foundry and then finishes parts on drilling, shaping and polishing machines.
The selling prices of parts A, B, and C respectively are Birr8, 10, 14. All parts made can be sold. Casting for parts A, B and C respectively costs Birr 5, 6 and 10. The shop possesses only one of each type of machine. Costs per hour to run each of the three machines are Birr 20 for drilling, 30 for shaping, and 30 for polishing. The capacities (parts per hour) for each part on each machine are shown in the following table:
Machine Capacity per hour
Part A Part B Part C
Drilling 25 40 25
Shaping 25 20 20
Polishing 40 30 40
The management of the shop wants to know how many parts of each type it should produce per hour in order to maximize profit for an hour’s run. Formulate this problem as an LP model so as to maximize total profit to the company.
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