Answer:
Option 4 : 
Step-by-step explanation:
<u>See the attached figure:</u>
To find the vertices of the feasible region, we need to graph the constraints, then find the area included by them, then calculate the vertices which is the intersection between each two of them.
As shown, the shaded area represents the solution of the constraints
So, the vertices of the feasible region are:

3x + 15 = 4 -15 -15
3x = 4 - 15
3x = -11
3x/3 = -11/3
x = -11/3
Answer:
The length of the longest side is 68mm
Step-by-step explanation:
The perimeter of a triangle is equals to the sum of all its sides
P=a+b+c
The triangle is isosceles, so two of its sides are equal, have the same length.
So: a=b, then
P=2a+c=168mm
Moreover, we know that the base is 18mm more than each of the legs, this means: c=18mm+a, where we obtain that a=c-18mm.
So, the system of equations is solved, lets use the above result in Perimeter`s equation.
168mm=2*(c-18mm)+C
From here we have:
168mm=3c-36mm
We obtain the following result: c= 68mm, this the length of the longest side
Answer:
C
Step-by-step explanation: