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A Manager Must Decide on the Mix of Products to Produce

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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 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. 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.


Definitions:

Economic Openness

The extent to which a country allows for the free flow of goods, services, and capital across its borders.

United States Agency

Generic term for any of various organizations of the United States government, responsible for specific functions.

International Development

A sector concerned with improving the economic, political, and social quality of life for people in developing countries through aid, investment, and policy.

U.S. Aid

Financial or material assistance provided by the United States to other countries, aimed at promoting economic development and welfare.

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