Suppose we modify the production model in Section 1.3 to obtain the following mathematical model: where a is the number of hours of production time required for each unit produced. With a 5, the...

Suppose we modify the production model in Section 1.3 to obtain the following mathematical model:

where a is the number of hours of production time 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?