Question

An analyst came up with the following relationships for a problem in his company. Which relationships are valid for a linear program, and which are not? Explain why or why not for each.

Max 4x + 3 XY
s. t. 2x + Y<50
X-4Y >6
1.5 X2 + 6Y > 21
- X + Y = 5
5X +3underroot7 380
X, Y>0

Answer 1

- X + Y = 5

Explanation:

Linear function is:

y= mx+b or ax+bx+c= 0

Only option from the listed matching the above condition:

• - X + Y = 5

==============

Max 4x + 3 XY - not a linear function

s. t. 2x + Y<50 - inequality

X-4Y >6 - inequality

1.5 X2 + 6Y > 21 - inequality, quadratic

- X + Y = 5 - yes

5X +3underroot7 380 - not a linear function

X, Y>0