Grade 9 Linear Programming Worksheet
A worksheet for Grade 9 students covering fundamental concepts of linear programming, including inequalities, feasible regions, and objective functions.
Includes
Standards
Topics
Linear Programming Fundamentals
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following is NOT a component of a linear programming problem?
Objective function
Constraints
Feasible region
Quadratic equations
2. The region satisfying all constraints in a linear programming problem is called the:
Optimal solution
Objective region
Feasible region
Constraint boundary
1. Linear programming is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of .
2. The inequalities in a linear programming problem are called .
3. The function that needs to be maximized or minimized is called the function.
1. Graph the inequality y ≤ 2x + 1 on the coordinate plane below.
2. Graph the system of inequalities: x + y ≥ 3 and y ≤ -x + 5. Shade the feasible region.
1. A company makes two types of products, A and B. Product A requires 2 hours of labor and 1 unit of raw material. Product B requires 1 hour of labor and 2 units of raw material. The company has 100 hours of labor and 80 units of raw material available. If the profit from Product A is $50 and from Product B is $40, formulate the linear programming problem to maximize profit.
Define your variables:
Write the objective function:
Write the constraints:
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