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A real estate company is going …

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A real estate company is going to build a new residential complex. The land they have purchased can hold at most 4500 apartment also if they make x apartment then the monthly income maintenance costs for the whole complex would be

Posted by Ajay Alahar 1 year, 5 months ago

CBSE > Class 12 > Mathematics

1 answers

Preeti Dabral 1 year, 5 months ago

(c) Let C(x) be the maintenance cost function, then C(x) = 5000000 + 160x - 0.04x²
(b) We have, C(x) = 5000000 + 160x - 0.04x²
Now, C{x) = 160 - 0.08x
For maxima/minima, put C'(x) = 0
{tex}\Rightarrow{/tex} 160 = 0.08x
{tex}\Rightarrow{/tex} x = 2000
(b) Clearly, from the given condition we can see that we only want critical points that are in the interval [0, 4500]
Now, we have C(0) = 5000000
C(2000) = 5160000 and C(4500) = 4910000
{tex}\therefore{/tex} Maximum value of C(x) would be ₹5160000
(a) The complex must have 4500 apartments to minimise the maintenance cost.
(a) The minimum maintenance cost for each apartment woud be ₹1091.11

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