A Manager Must Decide on the Mix of Products to Produce

question 10

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 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,600 minutes for painting,and 420 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:

Dollar Value

The worth of an item, service, or amount of money expressed in terms of the United States dollar currency.

Federal Income Tax

A tax levied by the U.S. federal government on the annual earnings of individuals, corporations, trusts, and other legal entities.

National Sales Tax

A tax imposed by the government on sales of goods and services, collected at the point of sale and paid by the final consumer.

Efficiency

The degree to which resources are used optimally to produce goods and services, minimizing waste and maximizing output.