Wanlah and Choot

[medicgirl]

X represents Choot
Y represents Wanlah

Choot makes $7hour and can make 3 grenades and3 landmines in an hour
Wanlah makes $6/hour and can make 1grenade and 4 landmines in an hour

3x +4y≤30 ( because Choot make 3 landmines and Wanlah makes 4 per hour and they need minimum of 30
3x+y≤12 (Choot makes 3 grenades and Wanlah makes 1...they need minimum 12 )
solve for y and graph

Graphing
x -number of hours Choot works
y- # hours Wanlah works

Feasible points
0,0
4,0
0,7.5
2,6

C=7x+6y
plug your numbers in to find the answer.

(2,6)
If Choot works 2 hours a day, 2 x $14 and 2 x 3grenades is 6 grenades, and 2 x 3 landmines is 6 landmines.

If Wanlah works 6hours a day, 6x$6 =$36 and 6 x 1 grenade is 6 grenades and 6x4 landmines is 24landmines
Total that up 6grenades from Choot plus 6 grenades for Wanlah = 12 grenades a day
And 6 landmines fromChoot and 24 landmines from Wanlah = 30 landmines a day

 

[HallsofIvy]

X represents Choot
Y represents Wanlah

No, X cannot represent Choot and Y cannot represent Wanlah because Choot and Wanlah are people, not numbers, and cannot be multiplied by 3 and 4.

Choot makes $7hour and can make 3 grenades and3 landmines in an hour
Wanlah makes $6/hour and can make 1grenade and 4 landmines in an hour

3x +4y≤30 ( because Choot make 3 landmines and Wanlah makes 4 per hour and they need minimum of 30
3x+y≤12 (Choot makes 3 grenades and Wanlah makes 1...they need minimum 12 )
solve for y and graph.

So "x" (but you used "X" before?) is the number of hours Choot worked and "y" is the number of hours Wanlah worked.

Graphing
x -number of hours Choot works
y- # hours Wanlah works

Ah! Now you are saying it correctly! (But is there any reason to use "number of" in one line and "#" in the next? Is not wrong cut it is distracting.)

Feasible points

Strictly speaking, these are the vertices of the boundary of the set of feasible points. The feasible points are all points that satisfy those inequalities.

0,0

Okay, because x and y cannot be negative.

4,0

Where 3x+ y= 12, which is a boundary of "\(\displaystyle 3x+ y\le 12\)" crosses the x-axis.

0,7.5

Where 3x+ 4y= 30, which is a boundary of "\(\displaystyle 3x+ 4y\le 30\)" crosses the y- axis

2,6

Where 3x+ 4y= 30 and 3x+ y= 12 intersect.

C=7x+6y
plug your numbers in to find the answer.

The answer to what question??

(2,6)
If Choot works 2 hours a day, 2 x $14 and 2 x 3grenades is 6 grenades, and 2 x 3 landmines is 6 landmines.

If Wanlah works 6hours a day, 6x$6 =$36 and 6 x 1 grenade is 6 grenades and 6x4 landmines is 24landmines
Total that up 6grenades from Choot plus 6 grenades for Wanlah = 12 grenades a day
And 6 landmines fromChoot and 24 landmines from Wanlah = 30 landmines a day

So what is your answer to this unstated question?