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Priya has to stitch table clothes and cu...

Priya has to stitch table clothes and curtains for a living. She has to put in 1 hour of work for a table cloth and 3 hours for a curtain. She gets ₹ 50 for· every table cloths and ₹ 250 for every curtain. She has to earn a least ₹ 500 per day. Minimize the no of hours of work she has to put in every day.

A

Miniimize z= x+ 3y subject to ` 250 x + 50 y le 500, x ge 0 , y ge 0 `

B

Minimize z= x + 3y subject to ` 50 x + 250 y ge 500, x ge 0, y ge 0 `

C

Minimize `z = x+ 3 y` subject to `250 x + 250 le 500, x ge , 0 y ge 0 `

D

Minimize z= x + 3 y subject to `250 x + 250 le 500 x ge 0 `

Text Solution

Verified by Experts

The correct Answer is:
B
Let x oe tne number of table cloths and y be the number of curtains produced in a day ` therefore ` Money earned per day on table clothes = ₹ 50 x
` therefore ` Money earned per day on curtains = ₹ 250 y
` therefore 50 x + 250y ge 500 `
Total hours spent on table clothes = x hrs
Total hours spent on curtains = 3y hrs
Total number of hours she has to spent = x + 3y
The number of hours should be minimized. `therefore ` Minimize z = x + 3y
subject to `50 x +250y ge 500, x ge 0, y ge 0`
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