EM 602 Management Science Fall 2021 Midterm Time 2:15 Hours 1.) Maximize S.T. 3X1 43X1.5X X1 +X123 first resource XI. X2. X120 second resource Arrange the problem in the standard form. b) Find the optimal solution. Use Big M. c) Write the dual of this problem. What is the optimum value of the dual variables? d) If the first resource is increased by one hour, how much extra profit will you Why? expect? If the second resource is increased, will you expect any change in profit? 40 points 2) During an EM602 lecture, you were daydreaming of your skiing vacation you had just reserved with a travel agent. You went home later and realized that while "dreaming" you failed to take down all the elements in the following tableaus of the homework: Maximize Z-25X1 + 10X2 + 60x S.T. Resource (1) Resource (2) X1 X2 X3 X4 X5 B Z -25 -10 -60 0 0 0 Iteration (0) X4 X5 Z 150 Iteration(n) X4 3 -1 -1 X3 3/5 4/5 1/5 60 (Continued on the other side) homework was