What is the minimum value for z = -x + 3y over the feasibility region defined by the constraints shown above?
a. 5
b. 4
c. -4
d. -1

The minimum value for    over the feasibility region is -1.

Step-by-step explanation:

Given conditions:

The function  

Subject to the following constraint

Graph the region correspond to the solution of the system of constraints as given below.

Now, from the graph we have the coordinates of the vertices of the region formed.

The vertices are , , and  .

now, evaluate the function    at each  vertex.

At ,

At ,

At  

At  

So. the minimum value of function over the feasible region is -1.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

215.92 dollars is the answer