Linear Programming, Maximization, Binary Problem. Please HELP!

mathgod

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Apr 18, 2016
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The production of lenses is noted as (Small, Medium and Large) i.e. (SL, ML, LL).
The production of mirrors is noted as (Small, Medium and Large) i.e. (SM, MM, LM).
Simply put, a small telescope (ST or Small T, profit $20) requires 1 SL and 1 SM, and similarly a medium telescope (MT or Medium T, profit $60) requires 1 ML and 1MM, but a large telescope (LT or Large T, profit $260) requires 1SL, 1 LL and 1 LM.
We wish to solve with a desire to maximize profit.
You should please note that the table of lenses and mirrors does not have any associated profits) :

SL ML LL SM MM LM Available
1, 6, 36, 1, 3, 27 <= 8000 (Glass)
3, 9, 27, 2, 10, 50 <= 6264 (Labour)
4, 8, 16, 3, 12, 60 <= 11520 (Polishing)
 
The production of lenses is noted as (Small, Medium and Large) i.e. (SL, ML, LL).
The production of mirrors is noted as (Small, Medium and Large) i.e. (SM, MM, LM).
Simply put, a small telescope (ST or Small T, profit $20) requires 1 SL and 1 SM, and similarly a medium telescope (MT or Medium T, profit $60) requires 1 ML and 1MM, but a large telescope (LT or Large T, profit $260) requires 1SL, 1 LL and 1 LM.
We wish to solve with a desire to maximize profit.
You should please note that the table of lenses and mirrors does not have any associated profits) :

SL ML LL SM MM LM Available
1, 6, 36, 1, 3, 27 <= 8000 (Glass)
3, 9, 27, 2, 10, 50 <= 6264 (Labour)
4, 8, 16, 3, 12, 60 <= 11520 (Polishing)
What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

You can't maximize profit without a cost and price (or the equivalent) so your question is unanswerable as it stands. What do the numbers in the table represent?
 
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