Kalyan Singhal Corp. makes threeproducts, and it has three machines available as resources as given in the following LP problem:

Maximize contribution= 3X1+5X2+7X3

1X1+7X2+4X3 100 (C1: hours on machine1)

2X1+1X2+7X3 110 (C2: hours on machine2)

8X1+4X2+1X3 100 (C3: hours on machine3)

X1, X2, X30

a) Using a computer software for solvingLP, the optimal solution achievedis:

X1 =______(round your response to two decimalplaces).

X2=______(round your response to two decimalplaces).

X3=______(round your response to two decimalplaces).

Contribution (objective value) = _______ (round your response to two decimalplaces).

b) Machine 1 has _____ hours of unused time available at the optimal solution (round your response to two decimalplaces).

Machine 2 has _____ hours of unused time available at the optimal solution (round your response to two decimalplaces).

Machine 3 has _____ hours of unused time available at the optimal solution (round your response to two decimalplaces).

c) An additional hour of time available for the third machine is worth _____ dollars to the firm (round your response to two decimalplaces).

d) An additional 10 hour 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 two decimalplaces).

e)An additional 12 hour 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 two decimalplaces).