An open tank with a rectangular base and vertical sides is to be constructed so as to hold 8000 ... VIDEO
An open tank with a rectangular base and vertical sides is to be constructed so as to hold 8000 litres of water. The tank is \( 2 \mathrm{~m} \) deep and material for the bottom costs \( ₹ 1800 \) per square meter and ₹ 900 per square meter for the vertical faces. Based on the above information answer the following questions:
If \( C \) denotes the total cost of construction of the tank, the \( \frac{d C}{d x} \) is equal to
(a) \( 3600\left(1-\frac{4}{x^{2}}\right) \)
(b) \( 1800\left(1-\frac{4}{x^{2}}\right) \)
(c) \( 3600\left(1-\frac{8}{x^{2}}\right) \)
(d) \( 900\left(1-\frac{4}{x^{2}}\right) \)
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