14. The simplex tableau for a maximization problem of LP is given as follows: Product Mix 4 5 Quantity (bì) Co BV X, X2 S2 X2 1 1 1 10 S2 1 -1 4 5 50 C; - Z, -1 -5 Answer the following questions, give reasons in brief. a. Is this solution optimal? b. Are there more than one optimal solution. c. Is this solution degenerate? 3.
14. The simplex tableau for a maximization problem of LP is given as follows: Product Mix 4 5 Quantity (bì) Co BV X, X2 S2 X2 1 1 1 10 S2 1 -1 4 5 50 C; - Z, -1 -5 Answer the following questions, give reasons in brief. a. Is this solution optimal? b. Are there more than one optimal solution. c. Is this solution degenerate? 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:14. The simplex tableau for a maximization problem of LP is given as follows:
Product Mix
Quantity
(bi)
Co
BV
X1
X2
S2
5
X2
1
1
1
10
S2
1
-1
1
3
Zj
4
5
50
C; - Zj
-1
-5
Answer the following questions, give reasons in brief.
a. Is this solution optimal?
b. Are there more than one optimal solution.
c. Is this solution degenerate?
d. Is this solution feasible?
e. If S, is slack in machine A (in hours/week) and S2 is slack in machine B (in
hours/week), which of these machines is being used to the full capacity when producing
according to this solution?
f. A customer would like to have one unit of product X¡ and is willing to pay in excess
of the normal price in order to get it. How much should price be increased in order to
ensure no reduction in profits?
g. How many units of two products X1 and X2 are being produced according to this
solution and what is the total profit?
h. Machine A (associated with the slack Sj in hours/week) has to be shut down for repairs
for two hours next week what will be the effect on the profit?
i. How much would you be prepared to pay for another hour (per week) of capacity each
on machine A and machine B?
j. A new product proposed to be introduced which would require processing time of /2
hour on machine A and 20 minutes on machine B. It would yield a profit of 33 per unit.
Do you think it is advisable to introduce this product?
4.
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