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A widget manufacturer has an infinitely substitutable production function of the form: q = 12K + 9L Graph the isoquant maps for q = 72 and q = 180. What is the RTS along these isoquants q = 72 and q = 180? If the wage rate (w) is $3 and the rental rate on capital (v) is $3, what cost-minimizing combination of K and L will the manufacturer employ for the two different production levels at q = 72 and q = 180? What is the manufacturer's expansion path? How would your answer to part (3) change if v rose to $6 with w remaining at $3?

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