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,...

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
ais 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 of
avaries between 3 and 6 (i.e.,
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?