Two-Variable Inequality Essay Example | Topics and Well Written Essays - 500 words

Two-Variable Inequality - Essay Example Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant. (2). One classic maple rocking chair requires 15 board feet and this will be designated as (15 cmr) and since one modern maple rocking chair requires 12 board feet this requirement will be designated as follows (12 mmr). The totally available board feet of maple lumber is 3000 feet, therefore, an equation showing the total combination of classic maple rocking chairs and modern maple rocking chairs that could possibly be made out of this amount of materials is represented as shown in the following equation: (3). Finding intercepts of the two variables on x axis (dependent variable) and y axis (independent variable) where either of them is zero, requires substitution of either of the variables with a zero value so as to obtain the maximum possible value of the other variable. The obtained intercepts can then provide end points on the line that will help draw a line that will map out the area of possibility. The inequality line in this case will be a straight, downward sloping solid line portraying a negative gradient, and the lines slopes from left to right because the inequality is a â€Å"less than or equal to† equation (Boyd et al., 1994). The region satisfying the equation falls within the first quadrant and is restricted to the left region of the line and the x and y axes (Boyd et al., 1994). This point (75, 50) falls within the shaded region and it is a point at which the company can satisfy an order of 75 classic maple rocking chairs and 50 modern maple rocking chairs. If the company made 75 classic maple rocking chairs and 50 modern maple rocking chairs the amount of material used would have been: The point (150, 75) falls outside the equation satisfaction region and it is a point at which the company may be unable to produce the designated number of products required at this point.