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The total cost of producing x yards of a synthetic cloth per day is estimated by

ID: 2850252 • Letter: T

Question

The total cost of producing x yards of a synthetic cloth per day is estimated by

C(x)= 1/10 (9000 + 19.19x + 0.1x^2)

Find the value of x (to the nearest yard) which minimizes the average cost per yard.

2.) A rectangular tank is to be constructed. Its base will be square and it will be made with an open top(that is it has a bottom sheet and four sides). The tank must hold a volume of 5324 ft^3.

It is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weight.

___ft

Explanation / Answer

Solution: a)

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