Final answer:
To find the slopes of the constraint boundary lines in this LP model, rearrange each constraint equation in the form y = mx + b and determine the slope.
Step-by-step explanation:
To find the slopes of the constraint boundary lines, we need to rearrange each constraint equation in the form y = mx + b, where m is the slope.
For constraint (1):
10X1 + 8X2 = 40
8X2 = -10X1 + 40
X2 = -1.25X1 + 5
The slope of this equation is -1.25.
For constraint (2):
X1 + 4X2 = 8
4X2 = -X1 + 8
X2 = -0.25X1 + 2
The slope of this equation is -0.25.