A Manager Must Decide on the Mix of Products to Produce

question 85

Essay

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 one minute per unit for packing.Product B requires two minutes per unit for molding,four minutes per unit for painting,and three minutes per unit for packing.There will be 600 minutes available for molding,600 minutes for painting,and 420 minutes for packing.Both products have profits of $1.50 per unit.
(i)What combination of A and B will maximize profit?
(ii)What is the maximum possible profit?
(iii)How much of each resource will be unused for your solution?

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Definitions:

Ambivalent Feelings

Mixed feelings or emotions towards a person, object, or idea, characterized by uncertainty or an inability to make a clear decision or stance.

Overcoming

The act of successfully dealing with or gaining control of a problem, obstacle, or difficult situation.

Helping Profession

Encompasses career fields that are dedicated to improving the well-being and alleviating the suffering of others.

Persistent Reactions

Continuous or long-lasting responses to stimuli or events, often seen in the context of psychological conditions.