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Calculus

how?! 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

1 min read
Posted on 
April 4th, 2022
Home Calculus how?! 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

how?! 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) = 13000r + 4000y + 6x?y – 10z
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
unskilled workers.
Answer =
pounds
B) Find an expression (fa) for the rate of change of output with respect to the number of skilled
workers.
Answer = f, =
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 13 skilled workers and 30
unskilled workers are employed. (Your answer will be a number.)
Answer =
weekly pounds per skilled worker
E) Find the rate of change of output with respect to unskilled workers when 13 skilled workers and 30
unskilled workers are employed. (Your answer will be a number.)
Answer =
weekly pounds per unskilled worker
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