A construction site uses two types of workers - skilled (S) and unskilled (U). They produce feet of new pavement (Q) per day according to the production function
Q = 100S -5S2 + 50U - 5U2
Skilled workers are paid $200 per day, while unskilled workers are paid $100 per day. The company paid $40,000 for equipment for the skilled workers. The company has a daily budget of $2,000 to hire skilled and unskilled workers.
a. How many skilled and unskilled workers should be hired in order to produce the most pavement?
Show your work/thought process:
b. What is the profit-maximizing Q?