A manufactual plans to build two types of tables. For table A,the cost of material is 20 000 bucks, the number of man hours needed to complete it is 10, and the profit is 15 000 bucks. Table B requires materials costing 12000 bucks,15 man hour of labour and makes same profit as table A. The total money avialable for materials is 500 000 bucks and labour avialable is 330 man hours.Find the maximum profit that can be made and the number of each type of table that should be made to produces it.


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Question Number 38051 by Rio Mike last updated on 21/Jun/18

$A m a n u f a c t u a l p l a n s t o b u i l d t w o$ $t y p e s o f t a b l e s . F o r t a b l e A, t h e c o s t$ $o f m a t e r i a l i s 20 000 b u c k s, t h e$ $n u m b e r o f m a n h o u r s n e e d e d t o$ $c o m p l e t e i t i s 10, a n d t h e p r o f i t$ $i s 15 000 b u c k s . T a b l e B r e q u i r e s$ $m a t e r i a l s c o s t i n g 12000 b u c k s, 15$ $m a n h o u r o f l a b o u r a n d m a k e s$ $s a m e p r o f i t a s t a b l e A .$ $T h e t o t a l m o n e y a v i a l a b l e f o r m a t e r i a l s$ $i s 500 000 b u c k s a n d l a b o u r a v i a l a b l e$ $i s 330 m a n h o u r s . F i n d t h e m a x i m u m$ $p r o f i t t h a t c a n b e m a d e a n d t h e n u m b e r o f e a c h$ $t y p e o f t a b l e t h a t s h o u l d b e m a d e t o p r o d u c e s$ $i t .$
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