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5. Assuming that net investment at time t is given by I(t)-4to078, find the change in the capital stock (Capital is accumulation of investment over time) during the time interval [0,3], [1,2] and [0,5]. If the capital stock is 25 when t-0, find the capital stock at each time t-0. (Hint: Use integral to find the capital stock) 6. The demand tunction for a good supplied by a monopolist is: (500-PVp-x, 0<p<500 The cost of producing x units of output is 2x, for all x2o. Show that the monopolists profit may be expressed as a concave function of output, and find the output and price that maximize profit.
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