Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 6, Problem 7RP
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- Here isoprofit line is the line that consists of the amount of labour and its total output that yield the same amount of profit for the firm.
- It is the line that maximizes or minimizes the objective function within the feasible region.
- An optimal solution will lie at a corner point of the feasible region...
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f(x) = sin (z*)
%3D
• Plot the function and a linear, quadratic and cubic Taylor series approximation about x=0 for x= 0 to 1.5 on the same plot.
• Plot the function and a linear, quadratic and cubic Taylor series approximation about x=0.5 for x= 0 to 1.5 on the same plot.
- The bucket has a weight of 400 N and is being hoisted
using three springs, each having an unstretched length of
6 = 0.45 m and stiffness of k = 800 N/m. Determine the
vertical distance d from the rim to point A for equilibrium.
400 N
D.
120
120°
0.45 m
120°
B
3d
EF, = 0; 400 –
F = 0
d² + (0.45)²
400 N
3d
[800 Jd² + (0.45)² -0.45)] = 0
400
d² + (4.5)²
|d² + (0.45)² -0.45) = 0.16667
0.45 m
d² + (4.5)²
d d² + (0.45)² -0.45 d = 0.16667 Jd² + (0.45)²
Va? + (0.45)² (d– 0.16667) = 0.45
0.45 m
d
[d² + (0.45)*] [d° – 2d(0.16667) + (0.16667)°] = (0.45)² d²
d* – 0.33334 d + 0.027779 d – 0.0675 d + 0.0056252 = 0
120°
0.45 m
d = 0.502 m
Ans
Consider the titration of 100.0 mL of 0.200 M acetic acid (K₂ = 1.8 × 10-5) by 0.100 M KOH. Calculate the pH of the resulting solution after the
following volumes of KOH have been added.
a. 0.0 mL
pH =
b. 50.0 mL
pH =
c. 100.0 mL
pH =
d. 150.0 mL
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pH =
Chapter 6 Solutions
Operations Research : Applications and Algorithms
Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3P
Ch. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.4 - Prob. 10PCh. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.5 - Prob. 1PCh. 6.5 -
Find the duals of the following LPs:
Ch. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 6PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.7 - Prob. 1PCh. 6.7 - Prob. 2PCh. 6.7 - Prob. 3PCh. 6.7 - Prob. 4PCh. 6.7 - Prob. 5PCh. 6.7 - Prob. 6PCh. 6.7 - Prob. 7PCh. 6.7 - Prob. 8PCh. 6.7 - Prob. 9PCh. 6.8 - Prob. 1PCh. 6.8 - Prob. 2PCh. 6.8 - Prob. 3PCh. 6.8 - Prob. 4PCh. 6.8 - Prob. 5PCh. 6.8 - Prob. 6PCh. 6.8 - Prob. 8PCh. 6.8 - Prob. 9PCh. 6.8 - Prob. 10PCh. 6.8 - Prob. 11PCh. 6.9 - Prob. 1PCh. 6.9 - Prob. 2PCh. 6.9 - Prob. 3PCh. 6.10 - Prob. 1PCh. 6.10 - Prob. 2PCh. 6.10 - Prob. 3PCh. 6.11 - Prob. 1PCh. 6.11 - Prob. 3PCh. 6.11 - Prob. 4PCh. 6.12 - Prob. 5PCh. 6.12 - Prob. 6PCh. 6.12 - Prob. 7PCh. 6 - Prob. 1RPCh. 6 - Prob. 2RPCh. 6 - Prob. 3RPCh. 6 - Prob. 4RPCh. 6 - Prob. 5RPCh. 6 - Prob. 6RPCh. 6 - Prob. 7RPCh. 6 - Prob. 8RPCh. 6 - Prob. 9RPCh. 6 - Prob. 10RPCh. 6 - Prob. 11RPCh. 6 - Prob. 13RPCh. 6 - Prob. 14RPCh. 6 - Prob. 15RPCh. 6 - Prob. 17RPCh. 6 - Prob. 18RPCh. 6 - Prob. 19RPCh. 6 - Prob. 20RPCh. 6 - Prob. 21RPCh. 6 - Prob. 22RPCh. 6 - Prob. 25RPCh. 6 - Prob. 29RPCh. 6 - Prob. 33RPCh. 6 - Prob. 34RPCh. 6 - Prob. 35RPCh. 6 - Prob. 36RPCh. 6 - Prob. 37RP
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