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Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for makingits 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. (what I have done so far is the formula below, I believe I have done it right)
“M” is for the number of modern rockers.
“C” is for the classic rockers.
15m + 12c = 3000
The maximum amount of Classics is = 3000 ⁄ 15 = 200
The maximum amount of Moderns is = 3000 ⁄ 12 = 250
M ≤ (- 250 ⁄ 200) • C + 250
M ≤ (- 5 ⁄ 4) • C + 250
Below is what else the teacher is asking I have not done yet.
1. Write a linear inequality which incorporates the given information of total board feet and the board
feet required for each type of rocker.
2. Draw a graph of the inequality
3. Demonstrate your solution to the above problem, making sure to include all mathematical work.
4. Describe what this graph looks like.
5. Any details which are pertinent to know about the graph should be mentioned.
6. Discuss what those numbers mean in terms of rockers and board feet of lumber.
7. Pick a point right on the line and discuss the details. Be specific.
8. Apply the linear inequality to solve the following problem:
9. A chain furniture store faxes an order for 175 modern rocking chairs and 125 classic rocking chairs, Will Ozark Furniture are able to fill this order with the current lumber on hand?
10. If yes, how much lumber will they have left?
11. If no, how much more lumber would they need to fill the order? Explain your answers.
