The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by the main office can be approximated by T(x,y) = x* + 16y* - 32xy + 43, where x represents how many thousands of dollars the factory spends on quality control and y represents how many thousands of dollars they spend on consulting. Find the amount of money they should spend on quality control and on consulting to minimize the time spent, and find the minimum number of hours. Find the derivatives Tg. Tw and Txy Tx= Ty =0 Txy =O Spending $ on quality control and $ (Simplify your answers.) on consulting gives the minimum time of hours.

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