Topic: Linear Programming

C$.$ Atupao, Inc manufactures golf umbrellas. The demand for its products occurs during the months of July to October each year. Atupao estimates the demand for the $4-$month period to be $100,200,180$ and $300$ units, resp. Atupao uses part$-$time labor to manufacture the umbrellas and, as such, its production capacities vary monthly. It is estimated that Atupao can produce $50,180,280$ and $270$ units for July to October, resp. The production cost per umbrella is P$250.$ The holding cost for each unit of umbrella unsold is P$5$ per month. Finally, should the demand for a present month is not met, a penalty of P$20$ is incurred for every month delayed. Determine Atupao's production$-$inventory schedule by formulating this as a linear program.

Simplex Algorithm and Sensitivity Analysis

D$.$ Use the Simplex Method to solve the model in C$.$ above.