Suppose that a firm begins at time t=1 with a capital stock of K(1)= 200,000 and, in addition to replacing any depreciated capital, is planning to invest in new capital at the rate I(t)=50,000t*-3/2 for the forseeable future. Find the planned level of capital stock T years from now. Will this firm’s capital stock grow without bound as T -> ∞ ? Explain using a graph.

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