Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 4X+4X+7X3 1X+7X2+4X380 (C,: hours on machine 1) 2X+1X2+7X3 84 (C: hours on machine 2) 8X+4X2+1X3 80 X1, X2, X3 20 (C3: hours on machine 3) a) Using a computer software for solving LP, the optimal solution achieved is: X = X3 (round your response to two decimal places). (round your response to two decimal places). (round your response to two decimal places). Contribution (objective value)=(round your response to two decimal places). b) Machine 1 has Machine 2 has hours of unused time available at the optimal solution (round your response to two decimal places). 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 (round your response to two decimal places) se (18und your response to two decimal places). c) An additional hour of time available for third machine, is worth dollars to the firm (round your response to two decimal places). Use sensitivity table to answer this questions. d) An additional 8 hours of time available for the second machine, at no cost to the firm, are going to increase the objective value by dollars (round your response to three decimal places). Use sensitivity table to answer this questions.