a) Due to a technical glitch, we are missing two entries (marked with ???) in the report. It is known that lower bounds for all variables are 0, and all the upper bounds are 35. What can you say about these optimal values of W and Z? 1. Both 135 units 2. W 35 units, ZO units 3. W0 units, Z 35 units 4. We cannot say anything about these values. Why:

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a) Due to a technical glitch, we are missing two entries (marked with ???) in the report. It is
known that lower bounds for all variables are 0, and all the upper bounds are 35. What
can you say about these optimal values of W and Z?
1. Both 135 units
2. W 35 units, Z O units
3. W0 units, Z 35 units
4. We cannot say anything about these values.
Why:
b) We received an offer from another company to sell us 100 units of Resource 2 for $8000.
Should we take this offer?
1. Yes, we should take this offer since it gives us at least $818 extra profit.
2. No, we should not take it since we will lose at least $818.
3. We cannot say anything using only sensitivity analysis and we need to resolve the
model.
Why:
Transcribed Image Text:a) Due to a technical glitch, we are missing two entries (marked with ???) in the report. It is known that lower bounds for all variables are 0, and all the upper bounds are 35. What can you say about these optimal values of W and Z? 1. Both 135 units 2. W 35 units, Z O units 3. W0 units, Z 35 units 4. We cannot say anything about these values. Why: b) We received an offer from another company to sell us 100 units of Resource 2 for $8000. Should we take this offer? 1. Yes, we should take this offer since it gives us at least $818 extra profit. 2. No, we should not take it since we will lose at least $818. 3. We cannot say anything using only sensitivity analysis and we need to resolve the model. Why:
to part a, write the
linear constraints necessary to enforce this restriction.
2) We have just solved a product-mix problem with 4 types of products (W, X, Y, Z), where the
total profit (in $ US) is maximized and Excel Solver generates the sensitivity report given in
the Table below. Please pick the best answer for the following questions regarding sensitivity
analysis and give explanation for each answer.
Variable Cells
Objective
Coefficient
450
Final
Reduced
Allowable
Allowable
Name
Value
23.36
Cost
Increase
300
Decrease
66.67
42.86
1E+30
Y
17.55
0.
1150
350
???
27.27
27.27
800
300
W
?2?
-95.45
95.45
IE+30
Constraints
Constraint
Final
Shadow
Allowable
Allowable
Decrease
Increase
1E-30
Name
Value
Price
R.H. Side
254.55
5545.45
730
29200
33590 91
5800
730
29200
60500
Resouree 1
Resource 2
71.82
280
193
2800
8566.67
Resource 3
0.18
1E-30
26909.09
Resource 4
0.
Transcribed Image Text:to part a, write the linear constraints necessary to enforce this restriction. 2) We have just solved a product-mix problem with 4 types of products (W, X, Y, Z), where the total profit (in $ US) is maximized and Excel Solver generates the sensitivity report given in the Table below. Please pick the best answer for the following questions regarding sensitivity analysis and give explanation for each answer. Variable Cells Objective Coefficient 450 Final Reduced Allowable Allowable Name Value 23.36 Cost Increase 300 Decrease 66.67 42.86 1E+30 Y 17.55 0. 1150 350 ??? 27.27 27.27 800 300 W ?2? -95.45 95.45 IE+30 Constraints Constraint Final Shadow Allowable Allowable Decrease Increase 1E-30 Name Value Price R.H. Side 254.55 5545.45 730 29200 33590 91 5800 730 29200 60500 Resouree 1 Resource 2 71.82 280 193 2800 8566.67 Resource 3 0.18 1E-30 26909.09 Resource 4 0.
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