"Colors Vibs" fabric dye factory can use two processing routes different to make a particular type of dye. Route 1 uses the dryer press A and route 2 uses press dryer B. Both routes require the use of the same tub mixing mechanism to stir the chemical dye ingredients before drying. The following table shows the time requirements and capabilities of these processes: Process Mixed Dryer A Dryer B Route 1 2 6 0 Time Requirements (h/Kg) Route 2 2 0 8 Capacity (Hours) 54 120 180 Each kilogram of dye processed in route 1 requires 20 liters of products chemicals, while each kilogram of dye processed in route 2 uses only 15 liters. The difference is due to the different production rates of the dryer presses. By Consequently, the profit for each kilogram processed in route 1 is $50 and in route 2 It's $65. A total of 450 liters of chemical ingredients are available. A. Formulate the constraints and the objective function to maximize profits. B. Apply the simplex method to find the optimal solution.

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"Colors Vibs" fabric dye factory can use two processing routes different to make a
particular type of dye. Route 1 uses the dryer press A and route 2 uses press dryer
B. Both routes require the use of the same tub mixing mechanism to stir the
chemical dye ingredients before drying. The following table shows the time
requirements and capabilities of these processes:
Process
Mixed
Dryer A
Dryer B
Route 1
2
6
0
Time Requirements (h/Kg)
Route 2
2
0
8
Capacity (Hours)
54
120
180
Each kilogram of dye processed in route 1 requires 20 liters of products chemicals,
while each kilogram of dye processed in route 2 uses only 15 liters. The difference is
due to the different production rates of the dryer presses. By Consequently, the profit
for each kilogram processed in route 1 is $50 and in route 2 It's $65. A total of 450
liters of chemical ingredients are available.
A. Formulate the constraints and the objective function to maximize profits.
B. Apply the simplex method to find the optimal solution.
Transcribed Image Text:"Colors Vibs" fabric dye factory can use two processing routes different to make a particular type of dye. Route 1 uses the dryer press A and route 2 uses press dryer B. Both routes require the use of the same tub mixing mechanism to stir the chemical dye ingredients before drying. The following table shows the time requirements and capabilities of these processes: Process Mixed Dryer A Dryer B Route 1 2 6 0 Time Requirements (h/Kg) Route 2 2 0 8 Capacity (Hours) 54 120 180 Each kilogram of dye processed in route 1 requires 20 liters of products chemicals, while each kilogram of dye processed in route 2 uses only 15 liters. The difference is due to the different production rates of the dryer presses. By Consequently, the profit for each kilogram processed in route 1 is $50 and in route 2 It's $65. A total of 450 liters of chemical ingredients are available. A. Formulate the constraints and the objective function to maximize profits. B. Apply the simplex method to find the optimal solution.
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