13. Production Allocation To fill an order for 100 units of its product, a firm wishes to distribute production between its two plants, plant 1 and plant 2. The total-cost function is given by c = f(91. 92) = qi + 391 + 2592 + 1000 where q, and q2 are the numbers of units produced at plants 1 and 2, respectively. How should the output be distributed in order to minimize costs? (Assume that the critical point obtained corresponds to the minimum cost.)