Formulate this problem as a linear program and find the optimum solution.

A manufacturer makes three automobiles (1-X, 2-XX and 3-Z) using raw materials "A" and "B", as given:

1-X. 2-XX3-ZAvailabilityRaw MaterialsA2354,000B4276,000Minimum Demand200200150Profit Per Unit ($)302050Labor per unit model has the following ratio:Model 1-X uses twice as much labor as Model 2-XX and 3 times that of Model 3-ZMaximum Total Labor, based on the equivalent units of Model 1-X = 1,500.Market requirements specify the ratios of 3:2:5 for the production of therespective models.

Identifying the initial problem (min or max question)

Identifying 4 constraint equations

Identifying 2 equations expressing production ratio requirements

Finding Optimal solution set

Calculating the answer