The inequalities x+y≤8,x≥0,y≥0 determine a feasible region in the first quadrant. You wish to maximise the objective function Z=kx+y, where k is a real parameter. Which one of the following statements is correct regarding the finiteness of the maximum value of Z?
a) The maximum is finite only if k>0.
b) The maximum is finite for every real k.
c) The maximum is finite only if ∣k∣≤1.
d) The maximum is never finite for any real k.