Question

The Williams Calculator Company manufactures two kinds of calculators: the TW100 and TW200. The assembly process...

The Williams Calculator Company manufactures two kinds of calculators: the TW100 and TW200. The assembly process times are as follows:

Assembler 1:

TW100 - 3 mins

TW200 - 7 mins

Maximum 8 hours per day

Assembler 2:

TW100 - 2 mins

TW200 - 6 mins

Maximum 8 hours per day

Assembler 3:

TW100 - 4 mins

TW200 - 5 mins

Maximum 8 hours per day

The company policy is to balance workloads on all assembly jobs. In fact, management wants to schedule work so that no assembler will have more than 30 minutes more work per day than other assemblers. This means that in a regular 8 hour shift, all assemblers will be assigned at least 7.5 hours of work. If the firm makes a $30 profit for each TW100 and a $60 profit for each TW200, how many units of each calculator should be produced per day? Formulate this problem as an LP

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