3. The Manhattan Manufacturing Company produces four different tables: models R1, R2, R3, and R4. A limitation of 1,050 machine-hours per week prevents Manhattan Manufacturing Company from meeting the sales demands for its products. The product information is as follows R1 R2 R3 R4 $450 $300 $175 $300 300 125 -100-150 Unit selling price Unit variable costs Unit contribution margin $150 $175 $75 $150 Machine-hours per unit 10 10 10 15 Assume the maximum weekly demand for each product is as follows Demand 40 units 10 units 55 units 20 units Product R1 R2 R3 R4 (i) Under these circu mstances, how many units of each product should the company produce per week to maximize short-run profits? (i) Calculate the total (ii) How much in $ lost contr al contribution from the profit maximizing production strategy s the lost contribution due to machine-hours constraint