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4 cards from this section. Quick, good the night before a test.
Define decision variables in the context of an LPP.
Think about what choices you can control in the problem.
What is the objective function?
Recall it’s set up to achieve as much profit or as little cost as possible.
What do decision variables represent in LPP?
Think about what aspects of the problem are controllable.
The objective function must always be a:
Consider the linear relationship aspect.
A company produces two types of bicycles, A and B. Type A requires 1 hour of assembly and 2 hours of painting, while Type B requires 2 hours of both. If the company has 120 hours available for each task and wants to maximize profit from A ($40 each) and B ($30 each), formulate the LPP including decision variables, the objective function, and constraints.
Analyze the time required for each task.
A farmer has 200 acres of land to plant corn and wheat. Each acre of corn requires 1 hour of work, and each acre of wheat requires 2 hours. The farmer has 280 hours of labor available and wants to maximize revenue—corn sells for $300/acre and wheat for $400/acre. Formulate the LPP.
Allocate labor hours against crop land limits.
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