Calculate for question number 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Calculate for question number 4.

Assume that a factory can produce a quantity
2x + x²y+ y°
of goods, when x is the number of skilled workers, and y the number of unskilled workers.
1. Assume that the quantity produced is constant, that is
2x + x²y + y = c
where c is a real number. Find y' as a function of x and y.
2. Right now, there are 10 skilled and 10 unskilled workers. What is the quantity
produced?
3. The factory wants to maintain the production at the level of Question 2. Find y' at
this point.
4. The management of the factory is considering replacing a skilled worker (paid $40/h)
by unskilled workers (paid $15/h), while maintaining the production at the same
level. Is this a good move? Explain precisely using the previous questions.
Transcribed Image Text:Assume that a factory can produce a quantity 2x + x²y+ y° of goods, when x is the number of skilled workers, and y the number of unskilled workers. 1. Assume that the quantity produced is constant, that is 2x + x²y + y = c where c is a real number. Find y' as a function of x and y. 2. Right now, there are 10 skilled and 10 unskilled workers. What is the quantity produced? 3. The factory wants to maintain the production at the level of Question 2. Find y' at this point. 4. The management of the factory is considering replacing a skilled worker (paid $40/h) by unskilled workers (paid $15/h), while maintaining the production at the same level. Is this a good move? Explain precisely using the previous questions.
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