A. Given the system of equations below, solve using the Gauss - Jordan method of row reduction 2x + y + 3z = 4 y-z=4 4x 2y + z = 1 (10 marks) B. A businessman is considering producing a novelty item that will be sold in hotel gift shops for $350 each. The variable cost of production for the item is $200 per unit with fixed costs of $375 000. His research has indicated that the demand for this item will be either 2 000, 3 000, 4 000 or 5 000 units. i. Set up a payoff table for the businessman's decision ii. Determine the number of units that he should produce using: 1. the maximax criterion 2. the maximin criterion (10 marks) (Total 20 marks)