Grade 10 Linear Programming Worksheet

This worksheet covers fundamental concepts in linear programming, including identifying objective functions, constraints, feasible regions, and optimal solutions.

Grade 10 Math AlgebraLinear Programming

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.3CCSS.MATH.CONTENT.HSA.REI.D.12

Topics

linear programmingalgebraoptimizationgrade 10 math

7 sections · Free to use · Printable

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Linear Programming Fundamentals

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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