The Gym Shirt Company manufactures cotton socks. Production is partially automated through the use of robots. Daily operating costs amount to $150 per laborer and $40 per robot. The number of pairs of socks the company can manufacture in a day is given by a Cobb-Douglas production formula q = 50n0'5r0'4, where q is the number of pairs of socks that can be manufactured by n laborers and r robots. Assuming that the company has a daily operating budget of $2,000 and wishes to maximize productivity, how many laborers and how many robots should it use? What is the productivity at these levels? What is the productivity at these levels? HINT [See Example 5.] (Round your answer to the nearest pair of socks.) |:| pairs of socks per day number of laborers number of robots