Question

A company produces three types of glue on two different production lines. Each line can be utilized by up to six workers at a time. Workers are paid $550 per week on production line 1 and $950 per week on production line 2. For a week of production it costs $1,050 to set up production line 1 and $2,050 to set up production line 2. During a week on a production line each worker produces the number of units of glue shown in the table below:

Each week at least 120 units of glue 1, at least 150 units of glue 2, and at least 200 units of glue 3 must be produced. Determine how to minimize the total cost of meeting weekly demands.

Answer

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