A furniture manufacturer produces tables and bookshelves made up of wood and steel. The weekly requirement of wood and steel is given as below.
Product | Wood | Steel |
Table | 8 | 2 |
Bookshelf | 11 | 3 |
The weekly availability of wood and steel is 450 and 100 units respectively. Profit on a table is 
and that on a bookshelf is 
. To determine the number of tables and bookshelves to be produced every week in order to maximize the total profit, formulate the problem as L.P.P.
Subject to 
Subject to 
Subject to 
Subject to 
Text Solution
Verified by ExpertsB
: Given 
and 
units of tables and bookshelves are produced.
Profit on one table is 
Profit on 
tables is 
Profit on one bookshelf is 
Profit on 
bookshelves is ₹ 
Total profit, 
Product |
| Table |
| Bookshelf | Availability | ||||||
Table | |||||||||||
Bookshelf | |||||||||||
Waterial | 8 | 11 | 450 | ||||||||
Wteel | 2 | 3 | 100 |
Constraints are 
, 
Given problem can be formulated as
Maximize 
Subject to, 
.
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