Question

Cucway
42: 250 km
to outijucal Hotelitt is maiung in a
cubit
f
Capprox). Calculate uts
elines uelarity
utaken 24 have to vienalue around
earth ?
of veаdias
ef 방​

Answer 1

Answer:

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Explanation:

Area of base =x

2

Cost of land =50x

2

Cost of digging =400h

2

.

Cost function C=400h

2

+50x

2

⇒C=400h

2

+50.

h

250

(by (1))

For C to be minimum,

dh

dC

=0

⇒800h−

h

2

12500

=0

⇒8h−

h

2

125

=0

∴h=2.5

Now,

dh

2

d

2

C

=800+

h

3

25000

>0

Hence, C is minimum at h=2.5

By (1) x=10