Case 1: Economists calculated that Amazon’s productivity function in 2000 was: 150K0.4L0.6 . Also, average price per unit (mostly books) = $22, wage per day = $112, and at that time, Amazon had one distribution center (K) at $20,000 (including renting rate, inventory costs, etc.)

Case 2: In 2005, All information is the same as in Case 1, but Amazon expanded its distribution centers to 5.

Case 3: In 2012, Amazon bought robot maker Kiva System, changing Amazon’s productivity function to: 190K0.4L0.6 , keeping the rest of the information as in Case 2.

Case 4: In 2019, Amazon announced hourly wage of $16, making the daily wage per worker to be raised at $150. Keep the rest of the information as is case 3.

Find L*, Q*, and Profits for each case.