606 Words3 Pages

Variables Inequality
Let x represent, board feet of maple lumber
One feet Classic and rocking chairs---------------X
One feet modern maple rocking chairs---------Y
X + Y < 3000
A classic maple rocker requires 15 board feet of maple
A modern rocker requires 12 board feet of maple. (Lang, 1995)
15X + 12Y < 3000
12Y < 3000- 15X
Y < = 250 – 1.25X
Y < = 1.25 ( 200-X)
X -------------------50, 100,
Y------------------- 187.5 125
Plot inequality
Inequality
Result
Inequality is very important when it comes to knowing the amount of raw materials which are required in the production of a given product. In this case, Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. Each of the independent variable requires a given feet for proper use and application so as to get t he required product. For instance, A classic maple rocker requires 15 board feet of maple while a modern rocker requires 12 board feet of maple. It therefore means that the combination of the independent variable will lead to the maximum product result of 3,000 board feet of lumber used in the making of classic and modern marple rocking chairs.
From the graph it is indicated that when One feet Classic and rocking chairs is at 50 then One feet modern maple rocking chairs will be 187.5. This will be within the range of 3000 as indicated. It should either be less or equal to that. The range is given to be moving up to 100 for one feet Classic and rocking chairs and 125 for one foot modern maple rocking chairs.
When for example a point is located within the shaded box at 75 for one feet Classic and rocking chairs is at and 130 for One feet modern maple rocking chairs then it means that
15X + 12Y < 3000
15. 100 + 12. 130 = 2685
2685 < 3000
This therefore holds that when the two independent

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