Welcome to your Grade 12 Mathematics chapter 4
After carefully reading the following 30 questions, choose the correct answer.
1.
What is the standard form of a linear inequality in two variables?
2.
In a system of linear inequalities, the region that satisfies all inequalities simultaneously is called the:
3.
Which type of line is used to graph an inequality with the symbol ≤ or ≥?
4.
The variables that represent the quantities to be determined in a linear programming problem are called:
5.
In linear programming, the function that needs to be maximized or minimized is the:
6.
Limitations or restrictions on the decision variables are known as:
7.
The Extreme Point Theorem states that if an optimal solution exists, it must occur at a:
8.
Which of the following is an example of a non-negativity constraint?
9.
If the feasible region of a linear programming problem is empty, the problem has:
10.
When graphing the inequality y>2x+1, which side of the boundary line is shaded?
11.
What characterizes a linear programming problem?
12.
A point (x,y) is a solution to a system of linear inequalities if it:
13.
In graphical solution, the line ax+by=c is called the:
14.
If a feasible region is unbounded, the objective function:
15.
A bounded feasible region is also known as a:
16.
To determine which side of the boundary line to shade, one can use a:
17.
If an objective function has the same value at two corner points, then:
18.
The process of finding the maximum or minimum value of a linear function is:
19.
In the inequality 3x+2y≥6, what is the y-intercept of the boundary line?
20.
A system of linear inequalities with no common intersection points results in:
21.
Which symbol represents "at most" in linear programming?
22.
Which symbol represents "at least" in linear programming?
23.
Graphical solutions of linear programming are generally limited to how many variables?
24.
If the objective function is Z=5x+2y, and corner points are (0,0),(4,0),(0,5), what is the maximum value?
25.
The region where x≥0 and y≥0 corresponds to which quadrant?
26.
A feasible solution that maximizes or minimizes the objective function is called the:
27.
In the inequality x+y<5, is the point (2,3) a solution?
28.
If the feasible region is bounded by the axes and x+y≤4, the corner points are:
29.
A dashed boundary line indicates that:
30.
Linear programming is used to:
