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Susanna Nanna is the production manager for a furniture manufacturing company.The company produces tables (X)and chairs (Y).Each table generates a profit of $80 and requires 3 hours of assembly time and 4 hours of finishing time.Each chair generates $50 of profit and requires 3 hours of assembly time and 2 hours of finishing time.There are 360 hours of assembly time and 240 hours of finishing time available each month.The following linear programming problem represents this situation.
Maximize 80X + 50Y
Subject to: 3X + 3Y ≤ 360
4X + 2Y ≤ 240
X, Y ≥ 0
The optimal solution is X = 0, and Y = 120.
(a)What would the maximum possible profit be?
(b)How many hours of assembly time would be used to maximize profit?
(c)If a new constraint, 2X + 2Y ≤ 400, were added, what would happen to the maximum possible profit?
Integrity
The quality of being honest and having strong moral principles; moral uprightness.
Direct Leader
A leadership style that involves straightforward management and communication with subordinates.
Trust Perceptions
Individuals' beliefs or expectations about the reliability, integrity, and honesty of others, which can influence interpersonal and organizational relationships.
Benevolence
The quality of being well-meaning and kindly.
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