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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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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
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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