Math problem

[cynonamu]

Could someone please walk me through solving this problem please!!

A ceramic workshop makes wreaths, trees, and sleighs for chrismas. A wreath takes 3 hours to prepare, 2 hours to paint,
and 10hrs to fire. A tree takes 15 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 13 hours to paint, and 7 hours to fire. If the workshop has 110 hours for prep time, 59 hours for painting, and 124 hours for firing, how many of each can be made?.Note: I know the answer for the question, but don't know how to go about it.

 

[tkhunny]

Why have you been given this problem?

Rule #1 - Name Stuff

W = # of Wreaths Produced
T = # of Trees Produced
S = # of Sleighs Produced

Now translate:

3W + 15T + 4S <= 110

You do the other two.

 

[cynonamu]

I really needed someone to walk me through because I am stuck!!

 

[cynonamu]

I did the other 2, what next?.

I did the other 2, so what next?

Why have you been given this problem?

Rule #1 - Name Stuff

W = # of Wreaths Produced
T = # of Trees Produced
S = # of Sleighs Produced

Now translate:

3W + 15T + 4S <= 110

You do the other two.

 

[mmm4444bot]

What have you been able to do so far?

If your answer is "nothing", then you need classroom help.

 

[tkhunny]

I did the other 2, so what next?

Show me. One equation. That's all I ask.

 

[cynonamu]

I did this:2W+3T+13S=59
10W+4T+7S=124
WHAT NEXT?

 

[tkhunny]

"=" is not correct. Use "<=".

After that, we must ask ourselves what class we are in. Were there some interesting methods that were in a recent segment of your text or the subject of a recent lecture? Maybe the "Simplex Method"?

Your task is to maximize W + T + S, subject to those three constraints.