Consider a model w 3 decision variables Xa Xb and Xc. These variables are defined as Wi = is equal to the number of laptops to produced at plant i (i= A B and C)

A. Write out a linear constraint that would require the laptops produced at plant A be at least 50% of the number of laptops produced at plant C

B. If laptops are produced at plant B the minimum umber that must be produced is 300 (Xb must be 0 or >=300). The maximum number of laptops that can be produced at plant b is 500. Write our constraints necessary to incorporate these into an LP model. Include any necessary binary decision variables.