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A Manager Must Decide on the Mix of Products to Produce

question 53

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A manager must decide on the mix of products to produce for the coming week. Product A requires three minutes per unit for molding, two minutes per unit for painting, and two minutes for packing. Product B requires two minutes per unit for molding, four minutes for painting, and three minutes per unit for packing. There will be 600 minutes available for molding, 720 minutes for painting, and 480 minutes for packing. Both products have contributions of $1.50 per unit.
(a) Algebraically state the objective and constraints of this problem.
(b) Plot the constraints on the grid below and identify the feasible region.
A manager must decide on the mix of products to produce for the coming week. Product A requires three minutes per unit for molding, two minutes per unit for painting, and two minutes for packing. Product B requires two minutes per unit for molding, four minutes for painting, and three minutes per unit for packing. There will be 600 minutes available for molding, 720 minutes for painting, and 480 minutes for packing. Both products have contributions of $1.50 per unit. (a) Algebraically state the objective and constraints of this problem. (b) Plot the constraints on the grid below and identify the feasible region.

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Definitions:

Organizations

Entities, such as companies or charities, structured to achieve particular goals.

Group Dynamics

The study of behaviors and psychological processes occurring within a social group or between social groups.

Human Relations

The study and management of how people interact within groups, aiming to improve job satisfaction and productivity through understanding and communication.

Common Sense

Sound practical judgment concerning everyday matters, or a basic ability to perceive, understand, and judge in a manner shared by nearly all people.

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