The management of Harman Company is trying to determine the amount of each of two products to produce over the coming planning period.

The management of Harman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labour availability, labour utilization and product profitability. Labour-hours Available A1.000.35100B0.300.2036C0.200.5050Price£50.00£30.00Cost£20.00£15.001)Develop a liner programing model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2 which give maximum profit.2)In computing the profit contribution per unit, management doesn’t deduct labour costs because they are considered fixed for the upcoming planning period. overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? How much would you willing to pay per hour of overtime in each department?What are the optimal production quantities, and what is the revised total contribution to profit? How much over time do you recommend using in each department? What is the increase in the total contribution to profit if overtime is used?Part 4Other data for these three products are as follows: Sales Protein Vitamin AVitamin C(mg/lb)1020030010100006002300500Four different ingredients are used to blend these products. Data for the ingredients are as follows:Vitamin C(%)(IU/lb)(mg/lb)500.00.0500020 101)How many pounds of each ingredient should the chain buy each month to maximize profit?2)How much profit will it make per month on all three products.