Three car showrooms A, B and C are supplied by cars from three ports, 1, 2 and 3.The table below gives the cost, in pounds, of transporting a car from

each port toeach showroom. Ports 1, 2 and 3 have stocks of 600, 400 and 800 cars respectively.A, B and C require 400, 500 abd 700 cars respectively.The aim is to minimise the total cost of transporting the cars. a) Formulate, but do not solve, the problem in the form of a linear program. b) Now write the problem in the form of a transportation array, explaining how you deal with the fact that the total demand and the total supply are not equal. c) Find the optimal transportation solution.