Contribution (objective value)=_____ (response should be rounded to nearest 2nd decimal place)

Machine 1 has ___ hours of unused time available at the optimal solution (response should be rounded to nearest 2nd decimal place)

Machine 2 has ___ hours of unused time available at the optimal solution (response should be rounded to nearest 2nd decimal place)

Machine 3 has ____ hours of unused time available at the optimal solution (response should be rounded to nearest 2nd decimal place)

An additional hour of time available for third machine, is worth ___ dollars to the firm. (response should be rounded to nearest 2nd decimal place)

Additional ___ hour of time available for second machine at no cost to the firm, are going to increase the objective value by

nothing dollars. (response should be rounded to nearest 2nd decimal place)

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 + 4X2 S 80 2X1 + 1X2 + 7X2 = 84 8X1 +4X2 + 1X2 = 80 X1, X2, X3 20 + (Cy: hours on machine 1) (C2: hours on machine 2) (Cz: hours on machine 3) + a) Using a computer software for solving LP, the optimal solution achieved is: X1 = = 6.26 (round your response to two decimal places). X2 = = 5.12 (round your response to two decimal places). X3 = = 9.48 (round your response to two decimal places). Contribution (objective value) = (round your response to two decimal places)