My little brother is doing advanced algebra but I can only help him half way with a particular problem:
Jennifer makes machine-stitched quilts. It takes 36 hours and 8 yards of material to make a small quilt and 27 hours and 12 yards to make a large quilt. She has at most 324 hours and 96 yards of material to use in making quilts. She makes a profit of $100 on each small quilt and $140 on each large quilt. Let x= the number of small quilts made and y= the number of large quilts made. Translate the constraints into a system of inequalities.
Now, I know that the answer to the first part would be
{ 324 > 36x + 27y
{ 98 > 8x + 12y (please correct me if I'm wrong)
But then it also asks to graph the system (???) and apply the Linear Programming Theorum to determine the number of each size of quilt Jennifer should make to maximize profit. Does anyone have a clue as to what that is? Please help!
2007-01-24 15:04:13 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Constraint equations look good.
I used my TI-83 to graph the system. I don't recall what the LPT is, but I think that you want the largest (x,y) that satisfys the inequality. That intersection is (x,y) = (5 3/4, 4 1/3)
If you have a graphing calculator I recommend graphing it.
2007-01-24 15:19:27 · answer #1 · answered by modulo_function 7 · 0⤊ 0⤋
Sorry I cant help you specifically on that problem since math is not exactly my strong point. If no one knows I suggest right now googling "Yahoo Education" I forgot the exact url and then looking it up online from there. It does give you a step by step intructions. but again sorry I cant help. good luck!
2007-01-24 23:17:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋
I think I'll go read Finnegan's Wake instead.
2007-01-24 23:15:48 · answer #3 · answered by gebobs 6 · 0⤊ 0⤋