9. Suppose we modify the production model in Section 1.3 to obtain the following mathe- matical model: Max 10x S.t. ax s 40 x 2 0 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?

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9. Suppose we modify the production model in Section 1.3 to obtain the following mathe-
matical model:
Max 10x
s.t.
ax < 40
x 2 0
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?
Transcribed Image Text:9. Suppose we modify the production model in Section 1.3 to obtain the following mathe- matical model: Max 10x s.t. ax < 40 x 2 0 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?
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