Saved Bookmarks
| 1. |
The sum of two natural numbers is 48. Find the numbers when their product is maximum. |
|
Answer» Let the two numbers be x & y. Given x + y = 48 & product: = xy where y 48 – x. Let p = xy = x (48 – x) dp/dx = 48x – x2. dp/dx = 48 – 2x dp/dx = 0 ⇒ 48 – 2x = 0 x = 24 d2p/dx2= -2 < 0 ⇒ product is maximum x = 24 ⇒ y = 48 – 24 = 24 ⇒ the two numbers are 24, 24. |
|