AboutSteve Holleran Expertise I can help with all math questions from basic math to Calculus.
Whether it`s consumer questions, or questions from high school or college students, I have probably dealt with it at some time in my career.
Experience 33 years teaching experience in NJ public schools
Education/Credentials B.S. Mathematics : Wake Forest University 1972
M.S. Mathematics : Monmouth University 1981
Expert: Steve Holleran Date: 5/14/2008 Subject: Linear Programming
Question Consider the following linear programming problem:
Max Z = $15x + $20y
Subject to :8x + 5y <= 40
0.4x + y >= 4
x, y >= 0
Determine the values for x and y that will maximize revenue. Given this optimal revenue, what is the amount of slack associated with the first constraint?
Answer Hi Jenna,
Well, I think I can help with the first part of this one.
When you graph the constraints, the four important points are :
(0,0) (5,0) (0,4) (10/3, 8/3)
I find that (0,0) gives z = 0
(5,0) gives Z = 75
(0,4) gives z = 80
(10/3 , 8/3) gives z = 103 1/3 so this is the max
I really don't know what the "amount of slack" means.
