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Q7) An open rectangular dive training tank, with square ends of side x metres an a volume of 392 m³, is shown in Fig Q7.

The tank was constructed at a cost of £75 per square metre for the base and £150 per square metre for the vertical sides and ends.

Determine EACH of the following for the tank:

(a) the length L, in terms of x; (2)

(b) the total construction cost in terms of x; (7)

(c) the dimensions, given that the construction cost was minimised. (7)