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.
Definitions:
Japan
An island country located in East Asia, known for its rich culture, technological advancements, and economic power.
Opportunity Cost
The expense of not choosing the second-best option while making a choice.
Machinery
Mechanical devices or assemblies, often powered by electricity or engines, that perform specific tasks, commonly used in industries for production processes.
Petroleum
A natural, flammable liquid found in the Earth's formations, composed of a complex mixture of hydrocarbons and used primarily as fuel.
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