Grade 10 Linear Programming Worksheet
This worksheet covers fundamental concepts in linear programming, including identifying objective functions, constraints, feasible regions, and optimal solutions.
Includes
Standards
Topics
Linear Programming Fundamentals
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. For graphing problems, use the provided coordinate plane.
1. In linear programming, what is the region satisfying all constraints called?
Objective region
Feasible region
Optimal region
Constraint region
2. Which of the following is typically maximized or minimized in a linear programming problem?
Constraint function
Feasible function
Objective function
Variable function
3. The inequalities that define the feasible region are called .
4. The solution to a linear programming problem lies at one of the of the feasible region.
5. Define what an 'objective function' is in the context of linear programming.
6. Graph the feasible region for the following system of inequalities. Label the vertices.
x + y ≤ 5
x ≥ 0
y ≥ 0
Vertices of the feasible region:
7. A linear programming problem can have multiple optimal solutions.
True
False
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