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Suppose we modify the production model in Section 1.3 to obtain the following mathe- matical model: Max 10x S.t. ax < 40 120 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?

Suppose we modify the production model in Section 1.3 to obtain the following mathe- matical model: Max 10x S.t. ax < 40 120 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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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9. Suppose we modify the production model in Section 1.3 to obtain the following mathe- matical model: Max 10x st. ax s 40 x20 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 st. ax s 40 x20 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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