Question: Cady Industries produces custom induction motors for specific customer applications. Each motor can be configured from different options for horsepower, the driveshaft forming process, spider bar component material, rotor plate process, type of bearings, tophat (a system of channels encased in a box that is placed on top of the motor to reduce airflow velocity both entering and exiting the motor) design, torque direction, and an optional mounting base

Copper spider bars are required on 10,000 and 15,000 horsepower motors. If a V-box tophat is required, a horizontal torque direction must be used. Finally, if the optional base is required, a horizontal torque direction must be chosen.

a. Develop and solve an optimization model to find the minimum cost configuration of a motor.

b. Develop and solve an optimization model to find the configuration that can be completed in the shortest amount of time.

c. Customer A has a new plant opening in 90 days and needs a motor with at least 5,000 horsepower. The customer has specified that sleeve bearings be installed for easy maintenance and a V-box tophat is required to meet airflow velocity limitations. Find the optimal configuration that can be built within the 90-day requirement.

d. Customer B has a budget of $365,000 and requires a motor with 15,000 horsepower, a heatrolled shaft, and the optional base. They want the highest-quality product, which implies that they are willing to maximize the cost up to the budget limitation. Find the optimal configuration that will meet these requirements.