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6. The Ontario Brassworks produces brass cups. As you know, brass is an alloy of copper and
zinc, used in fixed proportions. The production function is f(x1; x2) = minfx1; 2x2g, where x1
is the amount of copper, and x2 is the amount of zinc. The prices are p = 5;w1 = 2; and w2 = 3.
(a) Draw on a graph some typical isoquants for this production function.
(b) Does this production function exhibit increasing, decreasing, or constant returns to scale?
(c) What is the cheapest way to produce 2 brass cups? What is the total cost?
What is the cheapest way to produce y brass cups? What is the total cost?
(d) What is the profit-maximizing production plan? Explain your answer.
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