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Two-Variable Inequality Problem

Satisfactory Essays

Variable Inequality This two-variable inequality problem uses the following basic information. Ozark Furniture Company uses 15 board feet of maple to make a classic maple rocker and 12 board feet of maple to make a modern maple rocker. Using y for classic rockers and x for modern rockers, the following inequality expresses the number of rockers of each type that could be made with 3,000 feet of maple or less: y -4/5x +200. 15y + 12x 3000 5y + 4x 1000 5y 1000 4x y -4/5x +200 As the picture above shows, the graph is a straight line, which moves from high on the left to low towards the right. Its intercepts are (0,200) and (250,0). The slope of the line is -4/5 The line is solid, not dashed because the figure can include the numbers on the line. It is shaded to the left and down from the line, to indicate that any numbers smaller than those on the line would be applicable. The graph only demonstrates numbers in the first quadrant, where both the x and y coordinates are positive, because it is not possible to have a negative number of rockers. Looking at the graph, one is able to get a substantial amount of information about the number of rockers that Ozark Furniture Company can produce at this time. The maximum number of rockers that it can produce is 250 rockers, and to do so all of the rockers it produces must be modern rockers. Moreover, it is limited to producing certain combinations of rockers. For example, if it produces 100 modern rockers, it can produce 120

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