Question

Name: _01. Which of the choices below constitutes a simultaneous solution to these equations? (3pts.) (1) 3X + 2Y = 10 and (2) 5X + 4y = 14? a. X = 6, Y = .4 b. X = 4, Y = -0.5 c. X = 1, Y = 2 d. X = 2, Y = 1 e. None _02. What combination of X and Y will yield the optimum for this problem? (3 pts) Maximize Z = 10X + 30Y subject to: (1) 4X + 6Y S 12 and (2) 8X + 4Y S 16. a. X = 2.0, Y = 0.0 b. X = 1.5, Y = 1.0 C. X = 0.0, Y = 2.0 d. X = 3.0, Y = 2.0 e. None 03. What combination of X and Y will provide a minimum for this problem? (3 pts.) Minimize Z = X +3Y subject to: (1) 2X + 4Y 12 and (2) 5X + 2Y 10 a. X = 6.0, Y = 0.0 b. X = 5.0, Y = 0.0 с. X = 1.0, Y = 2.5 d. X = 2.5, Y = 1.0 e. None _04. For the constraints given below, which point is in (within the feasible solution space of this maximizat (1) X1 + X2 s 5 (2) 2X1 + 2X2 26, (3) 3X1 + 5X2 > 15 a. X1=4.0, X2=3.0 b. X1=3.0, X2=1.0 X1=1.0, X2=1.0 d. X1=2.0, X2=3.0 e. None _05. What combination of X and Y Will yield the optimum for the is L.P. problem (4 pts)? Maximize Z = 2X + Y subject to: (1) X+YS 3; (2) X - 2Y S 2; and (3) X 2 a. X = 0.0, Y = 2.0 b. X = 2.0, Y = 0.0 C. X = 2.0, Y = 1.0 d. X = 1.0, Y = 2.0 .X=4.0, Y = 2.0 _06. Consider the graphic L.P. problem below: Max (Z) = $10X + $50Y (4 pts.) subject to: (1) X + 2Y S6 and (2) $5X + 2Ys 10 What is the possible maximum profit from this linear programming problem? (4 pts.) a. $20 b. $135 c. $150 d. $250 e. None
need all questions answered as soon as possible i have an operations management test in the morning and really need these to study. im having a lot of trouble answering the problems and need to see hpw it is done. thank you.

Answer 1

1) Ans A

X = 6, Y = -4

3X + 2Y = 3*6 + 2*-4 = 10

5X + 4Y = 5*6 + 4*-4 = 14

So, both equations are satisfied