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3. Please highlight answers Suppose the following is the mathematical model: Max

ID: 3283318 • Letter: 3

Question

3. Please highlight answers Suppose the following is the mathematical model: Max 13x s.t. ax s 30 where a is the number of hours required for each unit produced. With a - 4, the optimal solution is x 7.50. 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 uni 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 dolar. Ifa -2, x if a = 3, x- If a-4.x- )and profit-s( } if a = 5, x- What problems does this stochastic model cause? The problem with this stochastic model is and profit-s and profit $ and profit- and therefore the values of are not known with certainty.

Explanation / Answer

for a = 2 , x = 30 / 2 = 15 , Profit = 13 * x = 13 * 15 = 195

for a = 3 , x = 30 / 3 = 10, Profit = 13 * x = 13 * 10 = 130

for a = 4 , x = 30 / 4 = 7.5, Profit = 13 * x = 13 * 7.5 = 97.5

for a = 5 , x = 30 / 5 = 6, Profit = 13 * x = 13 * 6 = 78

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