1.

Let X be a convex region in the plane bounded by straight lines. Let X have 7 vertices. Suppose f(x,y) = ax + by + c has maximum value M and minimum value N on X and N < M. Let S = {P ∶ P is a vertex of X and N < f(P) < M}. If S has n elements, then which of the following statements is TRUE?

A. n cannot be 5
B. n can be 2
C. n cannot be 3
D. n can be 4
Answer» E.


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