Your furniture store sells two types of dinning room tables. The first type, type A, cost $265 and you make a $25 profit on each one. The second type, type B, cost $100 and you make a $13 profit on each one. You can order no more then 40 tables this month, you need to make at least $760 profit on them. If you must order at least one each type of table, how many of each types of tables should you order if you wanted to minimize your cost?

Question

Your furniture store  sells two types of dinning room tables. The first type, type A, cost $265 and you make a $25 profit on each one. The second type, type B, cost $100 and you make a $13 profit on each one. You can order no more then 40 tables this month, you need to make at least $760 profit on them. If you must order at least one each type of table, how many of each types of tables should you order if you wanted to minimize your cost?

shamil98 · Answer

A + B ≤ 40
-> 25 A + 13 ( 40 - A)  ≥ 760 
=>    A ≥ ( 760 - 520 ) / 12 = 20 tables