Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabama requires 2 minutes of machine time and 30 minutes of tie-dying labor, and costs $18 in materials. The Buffalo requires 2.5 minutes of machine time and 35 minutes of labor, and costs $14 in materials to produce. The Colorado requires 3 minutes of machine time and 40 minutes of labor, but costs only $10 to produce. There are 350 machining minutes available per week, 4750 tie-dying labor minutes, and he has a budget of $3000. Alabama sells for $20, Buffalo for $24, and Colorado for $30. The solution from QM for Windows is shown below. ed Soon A Dual Manae 20 24 30 350 10 Constrant1 Constrant 2 Constrant 25 30 35 40 4750 18 14 10 3000 Souton 200 The ranging report from QM for Windows is shown below. Ranging (untited Solution Varate Original Val Lower Bou Upper Bou nfinity 24 intnty Value Reduced 20 20 25 116 67 Infinity Orginal Va Lower Bou Upper Bou 30 30 Dual Value Sack/Surp Constraint 1 10 350 356 25 Constrant 2 83 33 4750 4666 67 infinity Constrant 3 1833 33 3000 1166 67 Infinity

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Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabama
requires 2 minutes of machine time and 30 minutes of tie-dying labor, and costs $18 in materials.
The Buffalo requires 2.5 minutes of machine time and 35 minutes of labor, and costs $14 in
materials to produce. The Colorado requires 3 minutes of machine time and 40 minutes of labor, but
costs only $10 to produce. There are 350 machining minutes available per week, 4750 tie-dying
labor minutes, and he has a budget of $3000. Alabama sells for $20, Buffalo for $24, and Colorado
for $30.
The solution from QM for Windows is shown below.
ine Pregramming Resu
(unled) Sohon
RHS
Dual
Maumue
20
24
30
Constrant 1
2.5
350
10
Constrant 2
30
35
40
4750
Constrant 3
18
14
10
3000
Solution
11667
3500
The ranging report from QM for Windows is shown below.
Ranging
(untitled) Solution
Variable
Value Reduced.
Original Val Lower Bou Upper Bou
-Infinity
A
20
20
B
24
-Infinity
25
Infinity
Original Val Lower Bou Upper Bou
116.67
30
30
Dual Value Slack/Surp
Constraint 1
10
350
356 25
Constraint 2
83 33
4750
4666 67
Infinity
Constraint 3
1833 33
3000
1166.67
Infinity
If one of the machines breaks down, it usually results in about 15 minutes of downtime. When this
happens, revenues are reduced by:
$250.
$180.
$150.
$350.
Transcribed Image Text:Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabama requires 2 minutes of machine time and 30 minutes of tie-dying labor, and costs $18 in materials. The Buffalo requires 2.5 minutes of machine time and 35 minutes of labor, and costs $14 in materials to produce. The Colorado requires 3 minutes of machine time and 40 minutes of labor, but costs only $10 to produce. There are 350 machining minutes available per week, 4750 tie-dying labor minutes, and he has a budget of $3000. Alabama sells for $20, Buffalo for $24, and Colorado for $30. The solution from QM for Windows is shown below. ine Pregramming Resu (unled) Sohon RHS Dual Maumue 20 24 30 Constrant 1 2.5 350 10 Constrant 2 30 35 40 4750 Constrant 3 18 14 10 3000 Solution 11667 3500 The ranging report from QM for Windows is shown below. Ranging (untitled) Solution Variable Value Reduced. Original Val Lower Bou Upper Bou -Infinity A 20 20 B 24 -Infinity 25 Infinity Original Val Lower Bou Upper Bou 116.67 30 30 Dual Value Slack/Surp Constraint 1 10 350 356 25 Constraint 2 83 33 4750 4666 67 Infinity Constraint 3 1833 33 3000 1166.67 Infinity If one of the machines breaks down, it usually results in about 15 minutes of downtime. When this happens, revenues are reduced by: $250. $180. $150. $350.
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