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 $80 per ro The number of pairs of socks the company can manufacture in a day is given by a Cobb-Douglas production formula q=50n0.6.0.4 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 m productivity, how many laborers and how many robots should it use? What is the productivity at these levels? number of laborers number of robots 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
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 $80 per ro The number of pairs of socks the company can manufacture in a day is given by a Cobb-Douglas production formula q=50n0.6.0.4 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 m productivity, how many laborers and how many robots should it use? What is the productivity at these levels? number of laborers number of robots 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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 $80 per robot.
The number of pairs of socks the company can manufacture in a day is given by a Cobb-Douglas production formula
9 = 50n0.6,0.4
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?
number of laborers
number of robots
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a3e78eb-177a-4641-8051-104081d72a2a%2F0a1094de-b229-4944-a3d2-86100d91275f%2Flbvy9xh_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 $80 per robot.
The number of pairs of socks the company can manufacture in a day is given by a Cobb-Douglas production formula
9 = 50n0.6,0.4
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?
number of laborers
number of robots
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
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