Ingenieria En Sistemas
Enviado por lf_183 • 5 de Septiembre de 2012 • 477 Palabras (2 Páginas) • 606 Visitas
Ch. 2 – Practice Problems/Notes
Real – Life Application – Frontier Airlines Purchases Fuel Economically (Chapter 26/online)
Practice problems
2.1A
2. Determine the best feasible solution among the following (feasible and infeasible) solutions of the Reddy Mikks model:
a. x1 = 1, x2 = 4. (infeasible)
b. x1 = 2, x2 = 2. (feasible); z = 18
c. x1 = 3, x2 = 1.5. (feasible); z = 21, optimum solution from presented choices.
d. x1 = 2, x2 = 1. (feasible); z = 14
e. x1 = 2, x2 = -1. (infeasible)
Tora moment – pg. 18,19
2.2A
4. A company that operates 10 hours a day manufactures two products on three sequential processes. The following table summarizes the data of the problem:
Minutes per unit
Product Process 1 Process 2 Process 3 Unit profit
1 10 6 8 $2
2 5 20 10 $3
Determine the optimal mix of the two products.
Maximize Optimum solution Z = 2x1 + 3x2
Subject to
10x1 + 5x2 ≤ 600
6x1 + 20x2 ≤ 600
8x1 + 10x2 ≤ 600
x1, x2 ≥ 0
Optimum mix is at point 2.
6. Alumco manufactures aluminum sheets and aluminum bars. The maximum production capacity is estimated at either 800 sheets or 600 bars per day. The maximum daily demand is 550 sheets and 580 bars. The profit per ton is $40 per sheet and $35 per bar. Determine the optimal daily production mix.
Maximize Optimum solution Z = 40x1 + 35x2
Subject to
600 ≤ 0.75x1 + x2 ≤ 800
x1 ≤ 550
x2 ≤ 580
x1, x2 ≥ 0
(Using the graphical method as presented by prior question; and neglecting (550,0), & (0,580))
1. x1 = 26.67, x2 = 580; Z = $21,366.80
2. x1 =550, x2 = 187.5; Z = $28,562.50 Optimum mix
2.2B
4. John must work at least 20 hours a week to supplement his
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