Suppose we modify the production model from Section 1.3 to obtain the following mathematical model:
Max 10x
s.t.
ax ≤ 40
x ≥ 0
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 with a = 3, a = 4, a = 5, or a = 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?