Final answer:
The output produced is 18 when k=3 and l=6, as determined by the minimum of 9k and 3l in the given production function.
Step-by-step explanation:
To calculate the output produced by the firm given a production function q = f(k,l) = min {9k, 3l}, we need to evaluate the function with the given values of capital (k) and labor (l). With k=3 and l=6, we have two products: 9k which is 9*3=27, and 3l which is 3*6=18. According to the min function, we take the smaller of the two, thus the output q produced is 18 when k=3 and l=6.
The student asked about the production function and how it determines output based on inputs of capital and labor. By using the given values in the production function, we compute the respective products 9k and 3l. The function specifies that we take the minimum of these two values, which in this case is 3l (18), to determine the firm's final output.