Request a call back

Find the maximum profit
Asked by priyankar | 26 Jan, 2011, 02:23: PM Expert Answer
Let the number of Orange boxes be X and number of Apple boxes be Y.

From the given conditions,

X + Y = 12
and
50X + 25Y = 500

We need to maximize 10X + 6Y.

From the conditions,
Y = 12 - X

=> 50X + 25(12 - X) = 500
=> 50X + 300 - 25X = 500
=> 25X = 200
=> X = 200/25
=> X = 8

Hence, Y = 12 - 8 = 4.

Hence the maximum profit is
(10 x 8) + (6 x 4) = 80 + 24 = 104.

Regards Topperlearning.
Answered by | 26 Jan, 2011, 11:33: PM

## Concept Videos

CBSE 12-science - Maths
Asked by gargisha381 | 26 May, 2022, 12:24: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by ABHILASHA | 20 Apr, 2021, 12:07: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Sunita | 27 Oct, 2020, 12:07: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 01:19: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 29 Jul, 2016, 10:09: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 02:00: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 02:43: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 01 Sep, 2014, 02:46: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 29 Jul, 2016, 09:56: PM ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 18 Sep, 2014, 02:12: PM ANSWERED BY EXPERT