The LP formulation consists of variable definition, objective function, and constraints. You do not need to simplify the objective function or constraints. You are not required to solve the problem either. You do need to define the decision variables clearly and precisely to get full credit. Problem 3 (15pts). The Axiston Electronics Company manufactures motors for toys and small appliances. Based on the demand forecast, the company can sell up to 6,100 units of the Dynamonster motor in the next quarter at the price of $6/unit. A Dynamonster is assembled from two components: a shaft and a base. The company may also purchase the components from outside suppliers because of limited in-house capacity. The variable in-house production cost per unit is compared with the outside purchase cost in the table below: Component Outside Cost Inside Cost Shaft 1.21 0.81 Base 2.50 2.30 Aviston's plant consists of two departments. The time requirements in hours of each component in each department if manufactured in-house are summarized in the following table. The hours available for Dynamonster production are listed in the last row. Additional capacities (hours) for cutting and shaping departments may be acquired at the cost of $10/hour and $15/hour, respectively. Component Cutting Shaping Department Department Shaft 0.04 0.06 0.08 0.02 Capacity 820 Formulate this problem as a linear program to find the maximum profit production plan. Base 820