b) How much would the total profits increase if the profit per unit of type 1 pipe is increased to $42? How much would the total profits increase if the profit per unit of type 2 pipe is increased to $42? c) How much would the total profits increase if the profit per unit of type 1 pipe is decreased to $30? How much would the total profits increase if the profit per unit of type 2 pipe is decreased to $30? Question II: Louis Payton Company produces two basic types of plastic pipe. Three resources are crucial to the production: extrusion hours, packaging hours, and a special additive to the plastic raw material. The following data represent next week's situation. Resource Resource availability Extrusion Packaging Additive mix Resource requirements per unit of type 1 4 hrs 2 hrs 2 lbs Resource requirements per unit of type 2 6 hrs 2 hrs 1 lb 48 hrs 18 hrs 16 lbs The profit per unit for Type 1 and Type 2 Plastic are $34/unit and $40/unit. The company wants to determine how much of each type of pipe should be produced to maximize the total profits. The linear programming formulation for the above problem is given below