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) =60- 1512 2 of co (1+2)2 a) Find V(0), V(5). V(30), 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(t) will never fall? Explain. se see a) V(0) = (Round to two decimal places as needed.) see s V(5) = (Round to two decimal places as needed.) V(30) = (Round to two decimal places as needed ) see sc V(70) = (Round to two decimal places as needed.) see sco b) To find the maximum value of the inventory over the interval [0,co), it is useful to find the derivative of V(t) Find V'(t) V'(t) = see score The maximum value of V(t) over the interval [0,co) is see score (Round to two decimal places as needed.) c) Choose the correct graph below 1 of 3 see score Time Remaining: 00:55:13 Next -I of co see score