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A firm produces three products (A, B and C). The products are shipped to two warehouses, W1 and W2, for storage. The number of units of each product shipped to each warehouse is given by the matrix 150 120 W = 200 100 100 140 (where W}; is the number of units of product isent to warehouse j with the products taken in alphabetical order). (a) The cost of shipping one unit of each product by road is $1.20 for A, $1.10 for B, and $1.80 for C. The corresponding unit costs to transport by train are $1.50, $1.00, and $1.20. Organize these costs into a matrix 'I' and then show how the firm can compare the cost of shipping its products to each of the two warehouses by road and by train. Label the rows and columns in your answer. (8 marks) lb) Suppose that the unit cost of distributing the products to stores is the same for each product but varies by warehouse because of the distances involved. It costs $0.90 to distribute one unit from warehouse 1 and $1.20 to distribute one unit from warehouse 2. Organize these costs into a matrix C and then compute the total cost of distributing each product. Label the rows and columns in your