On a monthly basis when a factory employs L worker-hours of labor, they can produce Q(L) = 7L + 40L1/6 - 1 scooters. An investment in labor of K dollars gives them an employment level of L(K) = 0.055K - 12,500/K worker-hours.
a. The factory currently invests 2,000 dollars in labor. At what rate is the number of scooters being produced changing with respect to the amount they invest in labor. Round your final answer in 2 decimal places and include units with your answer.
b. How many scooters are they producing when they invest 2,000 dollars in labor? Round your final answer to the nearest whole number and include units with your answer.
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