Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution 4X+4X2 + 7X3 1X +7X2 + 4X, 6 80 ( Chours on machine 1) 2X, + 1X2 +7X, 584 ( Chours on machine 2) 8X, 4X, 1X, S 80 (Cyhours on machine 3) X, X, X, 20 a) Using a computer software for solving LP, the optimal solution achieved is X, fround your response to two decimal places) (round your response to two decimal places) X3 - (round your response to two decimal places) Contribution (objective value) -fround your response to two decimal places). b) Machine 1 has hours of unused time available at the optimal solution fround your response to two decimal places Machine 2 has hours of unused time available at the optimal solution (round your response to two decimal places). Machine 3 has hours of unused time available at the optimal solution (round your response to two decimal places). c) An additional hour of time available for third machine, is worth dollars to the firm fround your response to two decimal places. Use sensitivity table to answer this questions d) An additional 5 hours of time available for the second machine, at no cost to the firm, are going to increase the objective value by dollars fround your response to three decimal place). Une entivity table to answer this questions