Suppose the following is the mathematical model: Max 15x s.t ax ?25 x ?0 With a
ID: 420302 • Letter: S
Question
Suppose the following is the mathematical model:
Max 15x
s.t
ax?25
x?0
With a = 4, the optimal solution is x = 6.25. If we have a stochastic model with a = 2, a = 3, a = 4, or a = 5 as the possible values for the number of hours required per unit, what is the optimal value for x? Round your answers for the optimal solution to two decimal places. Round the answers for profit to the nearest dollar.where a is the number of hours required for each unit produced.
If a = 2, x = __________ and profit = $ ________
If a = 3, x = _________ and profit = $ _________
If a = 4, x = ___________and profit = $ ___________
If a = 5, x = and profit = $
Problem 1-09 (Algorithmic) Suppose the following is the mathematical model Max 15x s.t. ax s 25 x 2 0 where a is the number of hours required for each unit produced With a 4, the optimal solution isx-6.25. If we have a stochastic model with a 2, a 3, a 4, or a 5 as the possible values for the number of hours required per unit, what is the optimal value for x? Round your answers for the optimal solution to two decimal places. Round the answers for profit to the nearest dollar. If a-2, x- If a 3, x and profit and profit s and profit and profit s If a 5, x-Explanation / Answer
The number of hours required for each unit produced.
a
x
Profit
2
10
150
3
6.67
100.05
4
5
75
5
4
60
Problem with this stochastic model is "a" may not be found out accurately & therefore values of x are not known with the certainty
a
x
Profit
2
10
150
3
6.67
100.05
4
5
75
5
4
60
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