The following mathematical model:

Max10x

s.t.ax40

x0

Where a is the number of hours required for each unit produced. With a=5, the optimal solution is x=8. If we have a stochastic model in which the value ofa varies between 3and6 (i.e.,a=3,a=4,a=5,ora=6) as the possible values for the number of hours required per unit, what is the optimal value for x?. What problems does this stochastic model cause?