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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 2 years, 3 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Preeti Dabral 2 years, 3 months ago

    1. (c) Let C(x) be the maintenance cost function, then C(x) = 5000000 + 160x - 0.04x2
    2. (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
    3. (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
    4. (a) The complex must have 4500 apartments to minimise the maintenance cost.
    5. (a) The minimum maintenance cost for each apartment woud be ₹1091.11

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