(a) Determine the optimal solution using LP software. the optimal achieved is

X1=

X2-

X3=

contribution =

(b) Machine 1 has __ hrs of unused time available at the optimal solution

Machine 2 has __ hrs of unused time available at the optimal solution

Machine 3 has __ hrs of unused time available at the optimal solution

(c) An additional hour of time available for the third machine, is worth ____ dollars to the firm

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.

Problem B.22 Question Help 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 +7X; 1X, +7X2 +4X, 80 2X, +1%, +7X, S 84 8X, +4X2 + 1X, S 80 X4, X2, X, 20 ( C hours on machine 1) (Cy: hours on machine 2) (Cy: hours on machine 3) a) Using a computer software for solving LP, the optimal solution achieved is: X, (round your response to two decimal places)