Develop and solve an optimization model to find the minimum cost configuration of a motor.b$.$ Developandsolveanoptimizationmodeltofind the configuration that can be completed in the shortest amount of time.c$.$ CustomerAhasanewplantopeningin$90$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 limita$-$ tions. Find the optimal configuration that can be built within the $90-$day requirement.d$.$ Customer B has a budget of $$365,000$ and re$-$ quires a motor with $15,000$ horsepower, a heat$-$ rolled shaft, and the optional base. They want the highest$-$quality product, which implies that they are willing to maximize the cost up to the bud$-$ get limitation$.$ Find the optimal configuration that will meet these requirements.