Question

OfficeComfort manufactures three ergonomic chair: Basic, Deluxe, Contemporary

It has four departments: Assembly, Finishing, QualityControl, Packaging with number of workers (12, 3, 20, and 2 respectively).

	Basic	Deluxe	Contemporary
Profit / unit	$75	$145	$125
Assembly (hrs.)	0.5	0.75	1.5
Software (hrs.)	0.25	0.4	0.3
Testing (hrs.)	1	1.5	1
Packaging	0.1	0.1	0.2

• The company works one shift of 8 hours
• Management has set minimum production numbers for each product in order to maintain staff proficiencies. Each product must make up at least 20% of total production.
• Demand exceeds capacity for all products

Question 56 of 56 5 Points For simplex method, formulate the model to find out how many orders for each product should the company accept per day. A. Objective Function: Minimize 75 X1 + 145 X2 + 125 X3 Subject to: 0.5 X1 + 0.75 X2 + 1.5 X3 <= 96           0.25 X1 + 0.4X2 + 0.3 X3 <= 24 1 X1 + 1.5 X2 + 1 X3<= 160      0.1 X1 + 0.15 X2 + 0.2 X3 <= 16 0.8X1 - 0.2 X2 - 0.2 X3 >= 0 -0.2 X1 +0.8 X2 - 0.2 X3>= 0 -0.2 X1 - 0.2 X2 + 0.8 X3>= 0 X1, X2 , X3  >= 0 B. Objective Function: Maximize 75 X1 + 145 X2 + 125 X3 Subject to: 0.5 X1 + 0.75 X2 + 1.5 X3 <= 96           0.25 X1 + 0.4X2 + 0.3 X3 <= 24 1 X1 + 1.5 X2 + 1 X3<= 160      0.1 X1 + 0.15 X2 + 0.2 X3 <= 16 0.8X1 - 0.2 X2 - 0.2 X3 >= 0 -0.2 X1 +0.8 X2 - 0.2 X3>= 0 -0.2 X1 - 0.2 X2 + 0.8 X3>= 0 X1, X2 , X3  >= 0 C. Objective Function: Maximize 75 X1 + 145 X2 + 125 X3 Subject to: 0.5 X1 + 0.75 X2 + 1.5 X3 <= 96           0.25 X1 + 0.4X2 + 0.3 X3 <= 24 1 X1 + 1.5 X2 + 1 X3<= 160      0.1 X1 + 0.15 X2 + 0.2 X3 <= 16 0.8X1 - 0.2 X2 - 0.2 X3 >= 0 -0.2 X1 +0.8 X2 - 0.2 X3>= 0 -0.2 X1 - 0.2 X2 + 0.8 X3>= 0 D. Objective Function: Maximize 75 X1 + 145 X2 + 125 X3 Subject to: 0.5 X1 + 0.75 X2 + 1.5 X3 <= 96           0.25 X1 + 0.4X2 + 0.3 X3 <= 24 1 X1 + 1.5 X2 + 1 X3<= 160      0.1 X1 + 0.15 X2 + 0.2 X3 >= 16 X1 >= 0.2(X1 + X2 + X3) X2 >= 0.2(X1 + X2 + X3) X3 >= 0.2(X1+ X2 + X3) E. Objective Function: Maximize 75 X1 + 145 X2 + 125 X3 Subject to: 0.5 X1 + 0.75 X2 + 1.5 X3 <= 12           0.25 X1 + 0.4X2 + 0.3 X3 <= 3 1 X1 + 1.5 X2 + 1 X3<= 20        0.1 X1 + 0.15 X2 + 0.2 X3 <= 2 X1 >= 0.2 X2 >= 0.2 X3>= 0.2 X1, X2 , X3  >= 0 F. Objective Function: Maximize 75 X1 + 145 X2 + 125 X3 Subject to: 0.5 X1 + 0.75 X2 + 1.5 X3 <= 96           0.25 X1 + 0.4X2 + 0.3 X3 <= 24 1 X1 + 1.5 X2 + 1 X3<= 160      0.1 X1 + 0.15 X2 + 0.2 X3 <= 16 0.8X1 - 0.2 X2 - 0.2 X3 <= 0 -0.2 X1 +0.8 X2 - 0.2 X3<= 0 -0.2 X1 - 0.2 X2 + 0.8 X3<= 0 X1, X2 , X3  >= 0 G. Objective Function: Maximize 75 X1 + 145 X2 + 125 X3 Subject to: 0.5 X1 + 0.75 X2 + 1.5 X3 <= 12           0.25 X1 + 0.4X2 + 0.3 X3 <= 3 1 X1 + 1.5 X2 + 1 X3<= 20        0.1 X1 + 0.15 X2 + 0.2 X3 <= 2 0.8X1 - 0.2 X2 - 0.2 X3 <= 0 -0.2 X1 +0.8 X2 - 0.2 X3<= 0 -0.2 X1 - 0.2 X2 + 0.8 X3<= 0 X1, X2 , X3  >= 0

Answer 1

Answer : Option B

Below is the detailed explanation and reasons why other options are incorrect.