A-level FURTHER MATHEMATICS Paper 3 Discrete

Answer all questions in the spaces provided. 1 The simple-connected graph G is shown below. box The graph G has n faces. State the value of n Circle your answer. [1 mark] 2 3 4 5 2 Jonathan and Hoshi play a zero-sum game. The game is represented by the following pay-off matrix for Jonathan. Hoshi Jonathan The game does not have a stable solution. Which strategy should Jonathan never play? Circle your answer. [1 mark] J1 J2 J3 J4 3 A student is solving a maximising linear programming problem. The graph below shows the constraints, feasible region and objective line for the student’s linear programming problem. y 250 225 200 box 175 150 125 100 75 50 25 0 B C Feasible region A D 0 25 50 75 175 200 225 250 x Objective line Which vertex is the optimal vertex? Circle your answer. [1 mark] A B C D Turn over for the next question Turn over 4 The network below represents a system of water pipes in a geothermal power station. The numbers on each arc represent the lower and upper capacity for each pipe in gallons per second. box 5, 24 A 7, 23 0, 14 B 3, 9 6, 12 4, 15 D 6, 9 E