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A faniture dealer deals in only two itme...

A faniture dealer deals in only two itmes - tables and chairs. He has 'Rs. 50000 invest and has storage place of at most 60 pieces. A table costs Rs. 2500 and chair Rs. 500. He estimates that from the sale of one table, he can make a perfect Rs. 250 and that from the sale of one chair a profit of Rs. 75. How many table and chair he should buy from the available money so as to maximise his total profit assuming that he can sell all the items which he buys.

A

maximies Z=250 x + 75 Y
Subject to the constraints
`5x + y le 100`
` x+ Y le 60`
`x, y ge 0`

B

minimise Z= 250x + 75 y
Subject to the constrainsts
`5x Y le 100`
`x + y le 100`
`x, y ge 0 `

C

minimise Z = 250 x + 75 y
Subject to the constrains
` 5x + y ge 100`
`x+ y ge 60`
`x,y ge 60`
`x , y ge 0 `

D

maximise Z= 250 x + 75 y
Subject to the constraints
`5x +y le 100`
` x + y ge 60`
` x , y ge 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Maximize Z = 250x+75y subject to the constraints
` 2500x + 500y le 50000 rArr 5x +y le 100 `
` x + y le 60`
` x ,y ge 0`
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