Find the best way to maximize the profit. Pupils graph four constraints of a pet-sitting company, using a revenue equation to find a maximum amount the sitters can earn. By using the equation, scholars determine the number of cats and dogs the sitters should have each day to make the most profit.

Concepts

constraints, linear programming, linear equations, profit

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Additional Tags

math

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Instructional Ideas

• Lead a brainstorm session to determine possible scenarios for the constraint equations
• Determine whether the maximum profit possible changes if  users remove a constraint 

Classroom Considerations

• The class should be familiar with constraints

Pros

• Provides a method to highlight the feasible area
• Automatically shades the half-plane for the constraints

Cons

• None

Common Core

HSA-CED.A.3 MP4 MP5