x2 =

x3 =

Contribution (objective value)= __ (round your response to two decimal places).

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

d) An additional 10 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 two decimal places).

Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximizecontribution=6X1+8X2+4X31X1+7X2+4X372(C1:hoursonmachine1)2X1+1X2+7X376(C2:hoursonmachine2)8X1+4X2+1X372(C3:hoursonmachine3)X1,X2,X30 a) Using a computer software for solving LP, the optimal solution achieved is: X1=(roundyourresponsetotwodecimalplaces). Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximizecontribution=6X1+8X2+4X31X1+7X2+4X372(C1:hoursonmachine1)2X1+1X2+7X376(C2:hoursonmachine2)8X1+4X2+1X372(C3:hoursonmachine3)X1,X2,X30 a) Using a computer software for solving LP, the optimal solution achieved is: X1=(roundyourresponsetotwodecimalplaces).