Player A and Player are holding 4 coins in the denomination of 10 centavos, 25 centavos, 50 centavos, and 1 peso. Each player shows one coin simulataneously. If the sum of the coins is even Player A wins by the amount of the coin shown by Player B, otherwise Player B wins by the amount of the coin shown by Player A. Note: For negative value use, for example, -15. a) Formulate the payoff table of this game problem. Answer in integer value. Player A Player B Coin 50-centavo coin 10-centavo coin 25 centavo-coin peso-coin 10-centavo coin 25-centavo coin 50 centavo-coin 1 peso-coin b) What type of Game is this? Answer MSG if mixed strategy game or PURE if purse strategy game. c) Give the range of values of the gme. Answer in integer value. d) What is the size of the reduced matrix? e) What coins of Player A will not be included in the stategy? Answer in sequential order as Row1, Row2, Row3, or Row4. f) What coins of Player are inferior? Answer in sequential order as Column1, Column2, Column3, Column4.