The Central City Manufacturing Company produces two types

The Central City Manufacturing Company produces two types of toy model cars, the Stanley Steamer and the Model T. Three machines are required to produce each type; these machines are classified as X, Y and Z. Each Stanley Steamer requires 7 minutes of process time on machine X, 4 minutes on machine Y, and 10 minutes on machine Z. Model T requires 4 minutes on X,15 minutes on Y, and 16 minutes on Z. Each day, there are 420 minutes available on machine X,600 minutes on machine Y, and 840 minutes on machine Z. The variable costs are $10 per unit for the Stanley Steamer and $14 per unit for the Model T. Stanley Steamer sells at a price of $18 per model, whereas Model T sells for $24 per model. The company’s fixed costs are $180 per day. Determine the daily production rates for the models which will maximize the profit.


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