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: 2= = f(x, y) = 12500x + 4500y + 12x²y - 13x³ Where: z = the weekly # of pounds of acetate fiber = 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 18 skilled workers and 42 unskilled workers. Answer= B) Find an expression (fr) for the rate of change of output with respect to the number of skilled workers. Answer = fx Answer= fy C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. = Answer= D) Find the rate of change of output with respect to skilled workers when 18 skilled workers and 42 unskilled workers are employed. (Your answer will be a number.) weekly pounds per skilled worker E) Find the rate of change of output with respect to unskilled workers when 18 skilled workers and 42 unskilled workers are employed. (Your answer will be a number.) weekly pounds per unskilled worker Answer = pounds Calculator Check Answer
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: 2= = f(x, y) = 12500x + 4500y + 12x²y - 13x³ Where: z = the weekly # of pounds of acetate fiber = 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 18 skilled workers and 42 unskilled workers. Answer= B) Find an expression (fr) for the rate of change of output with respect to the number of skilled workers. Answer = fx Answer= fy C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. = Answer= D) Find the rate of change of output with respect to skilled workers when 18 skilled workers and 42 unskilled workers are employed. (Your answer will be a number.) weekly pounds per skilled worker E) Find the rate of change of output with respect to unskilled workers when 18 skilled workers and 42 unskilled workers are employed. (Your answer will be a number.) weekly pounds per unskilled worker Answer = pounds Calculator Check Answer
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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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) = 12500x + 4500y + 12x²y - 13x³
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:
Answer =
Answer = fa
= fr
-
Answer = fy=
Answer =
W m m m d w w w w w
pounds
Answer =
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A) The weekly number of pounds of fiber that can be produced with 18 skilled workers and 42
unskilled workers.
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Check Answer
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B) Find an expression (f) for the rate of change of output with respect to the number of skilled
workers.
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C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled
workers.
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D) Find the rate of change of output with respect to skilled workers when 18 skilled workers and 42
unskilled workers are employed. (Your answer will be a number.)
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weekly pounds per skilled worker
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E) Find the rate of change of output with respect to unskilled workers when 18 skilled workers and
42 unskilled workers are employed. (Your answer will be a number.)
weekly pounds per unskilled worker
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