Would someone please consider sending a invite to this noob? It would be seriously be appreciated.
Turkish
Lifer
- May 26, 2003
- 15,547
- 1
- 81
I got 3 invites left. I am going to make it a little competitive. First 3 PMs with the right answer gets invites. If you post the answer here or any other thread, you'll not get an invite. PM me with the answer + the email adress you want me to send the invite. I'll let you know if you win or not...
PLEASE DO NOT PM ME IF YOU ALREADY HAVE A GMAIL ACCOUNT! I'LL CHECK BOTH GMAIL THREADS FOR THIS!
Question:
There are 3 light bulbs in a room. However there are no switches in the room. All 3 switches for these light bulbs are inside another room in another building. Your goal is to find out which switch turns on which light bulb. You start in the room with switches and can go to the room where light bulbs are in but you can't go back to the room with switches. What's your solution?
Hint: You got unlimited time.
Good luck!
Update (Answer):
A received over 400 PMs in less than an hour... I don't know if it is due to 1cito being an ass and posting the answer here or because you all knew this already, but good job Anyways there are 2 possible solutions, 1 of them being risky.
1. You turn on 1 switch, wait 15 minutes, turn it off and turn on another one. You go to the room with light bulbs and the hot bulb out of the 2 that are not on is the first one you turned on and turned off later on. The one that's on is the last switch that you used. The one that's off and cold is the switch that you never used.
2. You constantly turn on and off one switch (you'll probably have to do it for a couple hundred times with less than 1 second intervals so the bulb connected to that switch will die. Then you turn on another switch and leave it like that. Go to the room with bulbs in it and check the bulb that has burned out. That's the first switch, the one that's on is the last switch that you used. The one that's off and cold is the switch that you never used.
Other possible answers: you wait for the night and turn on and off till you figure it out
Anyways, winners are:
1. rubisco
2. compl3x
3. Pr0digy
Thanks to the rest of you for participating I'll post again when I receive more invitations....
Xiety.
PLEASE DO NOT PM ME IF YOU ALREADY HAVE A GMAIL ACCOUNT! I'LL CHECK BOTH GMAIL THREADS FOR THIS!
Question:
There are 3 light bulbs in a room. However there are no switches in the room. All 3 switches for these light bulbs are inside another room in another building. Your goal is to find out which switch turns on which light bulb. You start in the room with switches and can go to the room where light bulbs are in but you can't go back to the room with switches. What's your solution?
Hint: You got unlimited time.
Good luck!
Update (Answer):
A received over 400 PMs in less than an hour... I don't know if it is due to 1cito being an ass and posting the answer here or because you all knew this already, but good job
Anyways there are 2 possible solutions, 1 of them being risky. 1. You turn on 1 switch, wait 15 minutes, turn it off and turn on another one. You go to the room with light bulbs and the hot bulb out of the 2 that are not on is the first one you turned on and turned off later on. The one that's on is the last switch that you used. The one that's off and cold is the switch that you never used.
2. You constantly turn on and off one switch (you'll probably have to do it for a couple hundred times with less than 1 second intervals so the bulb connected to that switch will die. Then you turn on another switch and leave it like that. Go to the room with bulbs in it and check the bulb that has burned out. That's the first switch, the one that's on is the last switch that you used. The one that's off and cold is the switch that you never used.
Other possible answers: you wait for the night and turn on and off till you figure it out
Anyways, winners are:
1. rubisco
2. compl3x
3. Pr0digy
Thanks to the rest of you for participating
I'll post again when I receive more invitations....Xiety.
flip the 1st switch on and wait for 5 mins.
turn off the 1st switch and turn on the 2nd switch.
head to the room with the bulbs.
the bulb on is obviously the 2nd switch.
feel the other 2 bulbs.
the hot bulb goes to the 1st switch and the cold bulb goes to the 3rd switch.
turn off the 1st switch and turn on the 2nd switch.
head to the room with the bulbs.
the bulb on is obviously the 2nd switch.
feel the other 2 bulbs.
the hot bulb goes to the 1st switch and the cold bulb goes to the 3rd switch.
Turkish
Lifer
- May 26, 2003
- 15,547
- 1
- 81
Hmmm found one more invitation But I am gonna make this more challenging First person to PM me the answer gets an invitation.
PLEASE DO NOT PM ME IF YOU ALREADY HAVE A GMAIL ACCOUNT!
Question:
A cereal company makes cereals from several ingredients (oats and rice). These ingredients have Vitamins A and B in them. Each box of cereal needs to have 48 miligrams of Vitamin A and 12 miligrams of Vitamin B, while minimizing cost. An ounce of oat contributes 8 mg of Vitamin A and 1 mg of Vitamin B whereas an ounce of rice contributes 6 mg of Vitamin A and 2 mg of Vitamin B. The sodium level in the cereal box must be less than 6 mg and amonut of sodium in oats and rice are 0.4 mg and 0.5 mg respectively. The last constraint is that the box of cereals must contain at least 10 ounces of oats. An ounce of oats cost $0.05 whereas an onuce of rice costs $0.03.
For the optimal solution, what are the slack&surplus variables for Vitamin A, Vitamin B, Sodium and Oats?
Hint: You'll have to calculate the optimal solution first, then move on from there.
Its very easy if you think about it a little. Good luck to all!
Update: Congrats to Batman534.
The solution is:
Vitamin A: 38 surplus
Vitamin B: 0 surplus
Sodium: 1.5 slack
Oats: 0 surplus
As a lot of you asked about slack&surplus, here:
Slack means resources that weren't used for the optimal solutions, surplus means resources exceeded (more than required).
Your objective function is, minimizing cost.
Thus,
Z= cost
x1 =oats
x2=rice
Minimize Z = 0.05 x1 + 0.03x2
If you graph all the constraints and the objective function, you can mark corner points of the feasible region and plug in those cordinates to the objective function. The lowest value will be your optimal solution as you are trying to minimize cost (Z).
To find surplus for Vitamin A, you use the Vitamin A constraint; 8x1 + 6x2 - s1 = 48
8(10) + 6(1) - s1 = 48
s1 = 38
To find surplus for Vitamin B, you use the Vitamin B constraint; x1 + 2x2 - s2 = 12
(10) + 2(1) - s2 = 12
s2 = 0
To find slack for Sodium, you use the Sodium constraint; 0.4x1 + 0.5x2 + s3 = 6
0.4(10) + 0.5(1) + s3 = 6
s3 = 1.5
To find surplus for Oats, you use the Oats constraint; x1 - s4 = 10
(10) - s4 = 10
s4 = 10
But I am gonna make this more challenging First person to PM me the answer gets an invitation. PLEASE DO NOT PM ME IF YOU ALREADY HAVE A GMAIL ACCOUNT!
Question:
A cereal company makes cereals from several ingredients (oats and rice). These ingredients have Vitamins A and B in them. Each box of cereal needs to have 48 miligrams of Vitamin A and 12 miligrams of Vitamin B, while minimizing cost. An ounce of oat contributes 8 mg of Vitamin A and 1 mg of Vitamin B whereas an ounce of rice contributes 6 mg of Vitamin A and 2 mg of Vitamin B. The sodium level in the cereal box must be less than 6 mg and amonut of sodium in oats and rice are 0.4 mg and 0.5 mg respectively. The last constraint is that the box of cereals must contain at least 10 ounces of oats. An ounce of oats cost $0.05 whereas an onuce of rice costs $0.03.
For the optimal solution, what are the slack&surplus variables for Vitamin A, Vitamin B, Sodium and Oats?
Hint: You'll have to calculate the optimal solution first, then move on from there.
Its very easy if you think about it a little. Good luck to all!
Update: Congrats to Batman534.
The solution is:
Vitamin A: 38 surplus
Vitamin B: 0 surplus
Sodium: 1.5 slack
Oats: 0 surplus
As a lot of you asked about slack&surplus, here:
Slack means resources that weren't used for the optimal solutions, surplus means resources exceeded (more than required).
Your objective function is, minimizing cost.
Thus,
Z= cost
x1 =oats
x2=rice
Minimize Z = 0.05 x1 + 0.03x2
If you graph all the constraints and the objective function, you can mark corner points of the feasible region and plug in those cordinates to the objective function. The lowest value will be your optimal solution as you are trying to minimize cost (Z).
To find surplus for Vitamin A, you use the Vitamin A constraint; 8x1 + 6x2 - s1 = 48
8(10) + 6(1) - s1 = 48
s1 = 38
To find surplus for Vitamin B, you use the Vitamin B constraint; x1 + 2x2 - s2 = 12
(10) + 2(1) - s2 = 12
s2 = 0
To find slack for Sodium, you use the Sodium constraint; 0.4x1 + 0.5x2 + s3 = 6
0.4(10) + 0.5(1) + s3 = 6
s3 = 1.5
To find surplus for Oats, you use the Oats constraint; x1 - s4 = 10
(10) - s4 = 10
s4 = 10
Originally posted by: Xiety
Hmmm found one more invitation
PLEASE DO NOT PM ME IF YOU ALREADY HAVE A GMAIL ACCOUNT!
Question:
A cereal company makes cereals from several ingredients (oats and rice). These ingredients have Vitamins A and B in them. Each box of cereal needs to have 48 miligrams of Vitamin A and 12 miligrams of Vitamin B, while minimizing cost. An ounce of oat contributes 8 mg of Vitamin A and 1 mg of Vitamin B whereas an ounce of rice contributes 6 mg of Vitamin A and 2 mg of Vitamin B. The sodium level in the cereal box must be less than 6 mg and amonut of sodium in oats and rice are 0.4 mg and 0.5 mg respectively. The last constraint is that the box of cereals must contain at least 10 ounces of oats. An ounce of oats cost $0.05 whereas an onuce of rice costs $0.03.
For the optimal solution, what are the slack&surplus variables for Vitamin A, Vitamin B, Sodium and Oats?
Hint: You'll have to calculate the optimal solution first, then move on from there.
Its very easy if you think about it a little. Good luck to all!
I'm confused... your constraints seem to contradict themselves:
Each box of cereal needs to have 48 miligrams of Vitamin A and 12 miligrams of Vitamin B
and you say: box of cereals must contain at least 10 ounces of oats
and finally: An ounce of oat contributes 8 mg of Vitamin A
Taking the minimum amount of oats (10 oz), you'll get 10oz*8mg = 80mg of Vitamin A, which already exceeds your constraint of 48 mg. Or maybe you mean "at least 48 mg" and not "needs to have 48 mg" ?
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