Arectangular cardboard has dimansions 50 cm by 100 cm. A box is to be mada from the cardboard by cutting squares of side s from the adges then folding the flaps Please see the figure below 50 cm 100 cm a. Write an expression relating the volume V of the box formed from the cardboard as a function of s. b. Using the concept of derivatives and opfimization, what should be the value of s so that Vis maximized? e Determine the value of this maximum V that can be made from the given cardboard

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