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: f(x, y) = 9000x + 4000y + 7x²y - 11x³ 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 13 skilled workers and 49 unskilled workers. Answer = B) Find an expression (f) for the rate of change of output with respect to the number of skilled workers. Answer = fa C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = pounds 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: f(x, y) = 9000x + 4000y + 7x²y - 11x³ 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 13 skilled workers and 49 unskilled workers. Answer = B) Find an expression (f) for the rate of change of output with respect to the number of skilled workers. Answer = fa C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = pounds fy =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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) = 9000x + 4000y + 7x²y - 11x³
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 13 skilled workers and 49 unskilled
workers.
Answer =
B) Find an expression (f) for the rate of change of
output with respect to the number of skilled workers.
Answer = fa
C) Find an expression (f) for the rate of change of
output with respect to the number of unskilled
workers.
Answer =
fy
=
pounds
D) Find the rate of change of output with respect to
skilled workers when 13 skilled workers and 49
unskilled workers are employed. (Your answer will be
a number.)
Answer=
pounds per skilled worker
Answer =
pounds per unskilled worker
weekly
E) Find the rate of change of output with respect to
unskilled workers when 13 skilled workers and 49
unskilled workers are employed. (Your answer will be
a number.)
weekly
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VIEWStep 3: Find the rate of change of ouput with respect to the number of skilled workers.
VIEWStep 4: Find the rate of change of ouput with respect to the number of unskilled workers.
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