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351 Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases (depreciates) after t months, where V(t) = 40 - (1+3)2 a) Find V(0), V(5). V(10), and V(70). b) Find the maximum value of the inventory over the interval [0,co). c) Sketch a graph of V. d) Does there seem to be a value below which V(I) will never fall? Explain. a) V(0) = 96.10 months (Round to two decimal places as needed) V(5) = 26.33 months (Round to two decimal places as needed.) V(10) = 19.29 months 'Round to two decimal places as needed.) V(70) = months (Round to two decimal places as needed.) b) To find the maximum value of the inventory over the interval [0,co), it is useful to find the derivative of Vit). Find V'(1)