At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of acetate fibers that can be produced is given by the function: z = f(x, y) = 15000x +3000y + 6x²y - 12x³ Where: z = the weekly # of pounds of acetate fiber x = the # of skilled workers at the plant y = the # of unskilled workers at the plant Determine the following: A) The weekly number of pounds of fiber that can be produced with 15 skilled workers and 34 unskilled workers. Answer = pounds B) Find an expression (f₂) for the rate of change of output with respect to the number of skilled workers. Answer = fz C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy
At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of acetate fibers that can be produced is given by the function: z = f(x, y) = 15000x +3000y + 6x²y - 12x³ Where: z = the weekly # of pounds of acetate fiber x = the # of skilled workers at the plant y = the # of unskilled workers at the plant Determine the following: A) The weekly number of pounds of fiber that can be produced with 15 skilled workers and 34 unskilled workers. Answer = pounds B) Find an expression (f₂) for the rate of change of output with respect to the number of skilled workers. Answer = fz C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 8P
Related questions
Question
4-1
![At an Oregon fiber-manufacturing facility, an analyst estimates that the
weekly number of pounds of acetate fibers that can be produced is given
by the function:
z = f(x, y) = 15000x + 3000y + 6x²y - 12x³
Where:
z = the weekly # of pounds of acetate fiber
x = the # of skilled workers at the plant
y = the # of unskilled workers at the plant
Determine the following:
A) The weekly number of pounds of fiber that can be produced with 15
skilled workers and 34 unskilled workers.
pounds
B) Find an expression (fr) for the rate of change of output with respect
to the number of skilled workers.
Answer = f₂ =
C) Find an expression (fy) for the rate of change of output with respect
to the number of unskilled workers.
Answer = fy
Answer =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1a84e4f-15fd-454d-ae7f-e3c4cf2939e6%2F4892f395-b343-4042-9ebc-c9a96021f05a%2Fzn0u36x7_processed.png&w=3840&q=75)
Transcribed Image Text:At an Oregon fiber-manufacturing facility, an analyst estimates that the
weekly number of pounds of acetate fibers that can be produced is given
by the function:
z = f(x, y) = 15000x + 3000y + 6x²y - 12x³
Where:
z = the weekly # of pounds of acetate fiber
x = the # of skilled workers at the plant
y = the # of unskilled workers at the plant
Determine the following:
A) The weekly number of pounds of fiber that can be produced with 15
skilled workers and 34 unskilled workers.
pounds
B) Find an expression (fr) for the rate of change of output with respect
to the number of skilled workers.
Answer = f₂ =
C) Find an expression (fy) for the rate of change of output with respect
to the number of unskilled workers.
Answer = fy
Answer =
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