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) = 9500x + 4000y + 15x²y - 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 36 unskilled workers. Answer = 367500 B) Find an expression (fr) for the rate of change of output with respect to the number of skilled workers. Answer = fr C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy D) Find the rate of change of output with respect to skilled workers when 15 skilled workers and 36 unskilled workers are employed. (Your answer will be a number.) weekly pounds per skilled worker Answer = pounds E) Find the rate of change of output with respect to unskilled workers when 15 skilled workers and 36 unskilled workers are employed. (Your answer will be a number.) weekly pounds per unskilled worker Answer=

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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) = 9500x + 4000y + 15x²y - 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 36 unskilled
workers.
Answer = 367500
B) Find an expression (fr) for the rate of change of output with respect to the number of skilled workers.
Answer = fr =
C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled
workers.
Answer = fy
D) Find the rate of change of output with respect to skilled workers when 15 skilled workers and 36
unskilled workers are employed. (Your answer will be a number.)
weekly pounds per skilled worker
Answer =
pounds
E) Find the rate of change of output with respect to unskilled workers when 15 skilled workers and 36
unskilled workers are employed. (Your answer will be a number.)
weekly pounds per unskilled worker
Answer=
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) = 9500x + 4000y + 15x²y - 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 36 unskilled workers. Answer = 367500 B) Find an expression (fr) for the rate of change of output with respect to the number of skilled workers. Answer = fr = C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy D) Find the rate of change of output with respect to skilled workers when 15 skilled workers and 36 unskilled workers are employed. (Your answer will be a number.) weekly pounds per skilled worker Answer = pounds E) Find the rate of change of output with respect to unskilled workers when 15 skilled workers and 36 unskilled workers are employed. (Your answer will be a number.) weekly pounds per unskilled worker Answer=
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