G Consider monopoly firm that produces diamonds. This firm sells in two distinct markets, one is completely sealed off from the other. The inverse demand curve for the firm's product in the first market (market 1) is p_1 = 16 - 0.5q_1. The inverse demand curve in the second market (market 2) is p_2 = 26-0.5q_2. The firm's cost function is C(q) = 10q, where q is the firm's entire output (destined for either market: q = q_1+q_2). The firm's objective is to maximize profits. The government imposes a unit tax t=1 on quantity sold in each market and the firm can charge different uniform prices in different markets. What price should the firm charge in each market to maximize profit?

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

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Waterway company’s record of transactions for the month of april was as follows. purchases sales april 1 (balance on hand) 672 @ $6.00 april 3 560 @ $11.00 4 1,680 @ 6.08 9 1,568 @ 11.00 8 896 @ 6.41 11 672 @ 12.00 13 1,344 @ 6.51 23 1,344 @ 12.00 21 784 @ 6.61 27 1,008 @ 13.00 29 560 @ 6.79 5,152 5,936 (a) calculate average-cost per unit. (b) assuming that periodic inventory records are kept in units only, compute the inventory at april 30 using lifo and average-cost. (c) assuming that perpetual inventory records are kept in dollars, determine the inventory using (1) fifo and (2) lifo. (d) compute cost of goods sold assuming periodic inventory procedures and inventory priced at fifo.