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In: AccountingThe management of MACU Corporation istrying to determine the amount of each of two products...The management of MACU Corporation istrying to determine the amount of each of two products to produceover the coming planning period. The following information concernslabor availability, labor utilization, and productprofitability:DepartmentProduct(hours/unit)1 2Labor-HoursAvailableA1.00 0.38110B0.25 0.3045C0.25 0.4560Profit contribution/unit$30.00 $15.00What are the optimal (maximumprofit) production quantities for the company?a. What type/s of model/sshould be used to solve the problem and why would you use thatmodel/s? (20 points)b. Develop a model of theMACU Corporation problem. Solve the model to determine the optimalproduct quantities of products 1 and 2. (60points)c. In computing the profitcontribution per unit, management did not deduct labor costsbecause they are considered fixed for the upcoming planning period.However, suppose that overtime can be scheduled in some of thedepartments. Which department would you recommend scheduling forovertime? How much would you be willing to pay per hour of overtimein each department?(20 points)d. Suppose that 10,6, and 8 hours of overtime may be scheduled in departments A,B, and C respectively. The cost perhour of overtime is $17 in department A,$21.50 in department B, and $10 indepartment C. Formulate a model that can be used to determine theoptimal production quantity if overtime is made available. What arethe optimal product quantities? What is the revised totalcontribution to profit? How much overtime do you recommend using ineach department? What is the increase in the total contribution toprofit if overtime is used?(60 points)