Two Variable Inequality
Two Variable Inequality MAT 221 11 May 2012
The purpose of this week’s assignment is to determine how many maple rocking chairs the Ozark Furniture Company can make. We will also plot the inequalities of this on a graph. Here is the information and first set of problems for the text:
Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. 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. To determine how many classic and modern rockers can be made, we simply just divide 3000 (board feet) by how many board feet are required for the particular rocker. Here is how that looks:
3000 ÷ 15 = 250 classic rockers (C)
3000 ÷ 12 = 200 modern rockers (R)
On the next page, this inequality is graphed, classic rockers is shown on the Y axis, modern rockers on the X axis. The slope is , or simplified: .
Part two of the assignment asks if Ozark Furniture will be able to fulfill an order by a retail furniture chain. They requested 175 modern rockers and 125 classic rockers. Will there be enough maple and if so, how much. If not, how much will be required. See below for the break down of solution:
If Ozark makes the modern style first:
3000 – (175 modern rockers x 15) = 2625
3000 – 2625 = 375
375 boards left. 375 ÷12 boards required to build classics = 31 (rounded down from 31.25).
125 - 31 = 94 classic rockers that can’t be made.
94 x 12 = 1128 more boards required to complete the order.
I could and do see a lot of real world applications for equations like I learned this week for discovering how much of a certain product I will need to buy at Home Depot. Anything from cinderblocks to build a wall to lumber to create a
The purpose of this week’s assignment is to determine how many maple rocking chairs the Ozark Furniture Company can make. We will also plot the inequalities of this on a graph. Here is the information and first set of problems for the text:
Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. 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. To determine how many classic and modern rockers can be made, we simply just divide 3000 (board feet) by how many board feet are required for the particular rocker. Here is how that looks:
3000 ÷ 15 = 250 classic rockers (C)
3000 ÷ 12 = 200 modern rockers (R)
On the next page, this inequality is graphed, classic rockers is shown on the Y axis, modern rockers on the X axis. The slope is , or simplified: .
Part two of the assignment asks if Ozark Furniture will be able to fulfill an order by a retail furniture chain. They requested 175 modern rockers and 125 classic rockers. Will there be enough maple and if so, how much. If not, how much will be required. See below for the break down of solution:
If Ozark makes the modern style first:
3000 – (175 modern rockers x 15) = 2625
3000 – 2625 = 375
375 boards left. 375 ÷12 boards required to build classics = 31 (rounded down from 31.25).
125 - 31 = 94 classic rockers that can’t be made.
94 x 12 = 1128 more boards required to complete the order.
I could and do see a lot of real world applications for equations like I learned this week for discovering how much of a certain product I will need to buy at Home Depot. Anything from cinderblocks to build a wall to lumber to create a