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2. A company produces lamps. The cost function C (q) for their weekly production is given in the graph below. (thousands of S) 25 20 15 10 20 40 60 80 100 120 140 (103111138) (a) (4 points) At what quantity q are the average costs minimized? Explain your reasoning in the box below. The average costs are minimized at q = l l lamps. (b) (4 points) A year later, the company has hired a new CEO and as a result of the change in management, they have a new cost and revenue function. This time, they have acquired data about their marginal costs and marginal revenue in the table below. Quantity produced (lamps) 20 40 60 80 100 | 120 140 Marginal revenue ($/lamp) 100 150 175 180 165 | 150 125 Marginal costs ($/ lamp) 120 150 160 170 165 I 170 190 Based on this data, how many lamps should the company produce every week in order to maxi- mize their prots? Justify your answer in the box below. They should produce lamps because