Two-Variable Inequalities Of Ozark Furniture Company
Two-Variable Inequality
(YOUR NAME HERE)
MAT 221
(YOUR PROFESSOR 'S NAME HERE)
February 10, 2014
Two-Variable Inequality
We use inequalities when there is a range of possible answers for a situation. That’s what we are interested in when we study inequalities, possibilities. We can explore the possibilities of an inequality using a number line which is sufficient in simple situations, such as inequalities with just one variable. But in more complicated circumstances, like those with two variables, it’s more useful to add another dimension, and use a quadratic chart. In these cases, we use linear inequalities that can be written in the form of a linear equation. (Dugopolski, 2012).
Consider the following problem: “Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and …show more content…
Reduce the expression −15c12 by removing a factor of 3 from the numerator and denominator. m250 The m-intercept is (0,250).
Because this is a “less than equal to” inequality, the line will be solid, sloping downward as it moves from left to right. The region of the graph which is relevant to this problem is restricted to the first quadrant, so the shaded section is from the line towards the origin and stops at the two axes. The plotted result should look as follows:
Consider the point (110,110) on my graph. It is inside the shaded area which means the company could fill an order of 110 classic maple rockers and 110 modern maple rockers. If they made this many rockers, they would use 110(15)+110(12)=2970 board feet of maple lumber with 30 board feet of maple lumber left over.
Also, consider the point (150,150) on the graph. It is outside the shaded area which means the company could not make up enough of both kinds of chairs. They would use 150(15)+150(12)=4050 board feet of maple lumber, running out of maple lumber before all of them got
(YOUR NAME HERE)
MAT 221
(YOUR PROFESSOR 'S NAME HERE)
February 10, 2014
Two-Variable Inequality
We use inequalities when there is a range of possible answers for a situation. That’s what we are interested in when we study inequalities, possibilities. We can explore the possibilities of an inequality using a number line which is sufficient in simple situations, such as inequalities with just one variable. But in more complicated circumstances, like those with two variables, it’s more useful to add another dimension, and use a quadratic chart. In these cases, we use linear inequalities that can be written in the form of a linear equation. (Dugopolski, 2012).
Consider the following problem: “Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and …show more content…
Reduce the expression −15c12 by removing a factor of 3 from the numerator and denominator. m250 The m-intercept is (0,250).
Because this is a “less than equal to” inequality, the line will be solid, sloping downward as it moves from left to right. The region of the graph which is relevant to this problem is restricted to the first quadrant, so the shaded section is from the line towards the origin and stops at the two axes. The plotted result should look as follows:
Consider the point (110,110) on my graph. It is inside the shaded area which means the company could fill an order of 110 classic maple rockers and 110 modern maple rockers. If they made this many rockers, they would use 110(15)+110(12)=2970 board feet of maple lumber with 30 board feet of maple lumber left over.
Also, consider the point (150,150) on the graph. It is outside the shaded area which means the company could not make up enough of both kinds of chairs. They would use 150(15)+150(12)=4050 board feet of maple lumber, running out of maple lumber before all of them got