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Answered

Build a rectangular pen with three parallel partitions using 500 feet of fencing. What width of the pen (in feet) will maximize its total area?

Sagot :

C41992go

Answer:

50ft

Step-by-step explanation:

above illustration

we find

P = 2L + 5W

P= 500

500 = 2L + 5W

2L = 500-5w

L = 250 - 2.5W

max A

A= LW

= (250-2.5W)(W)

= 250W-2.5W²

max (d/dx)A =0

0 = 250 - 5W

W= 50

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