What is tye minimum value for p=x-4y over the feasibility region defined by the constraints shown above?

The correct option is:  -30

Step-by-step explanation:

According to the given graph, the the leftmost vertex of the feasibility region is the intersecting point of lines and

Now, solving the above two equations, we will get.......

So, the co ordinate of the leftmost vertex will be:  

From the given graph, the other vertices are:   and

Given objective function is:  

Now, we need to find the value of that objective function at each vertex. So....

For ,  

For ,  

For ,  

For ,    (Minimum)

Thus, the minimum value of the objective function will be -30.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.