تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
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:
x = f(x, y) = 9500x + 4000y+ 14x²y - 6x³
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 10 skilled workers and 42
unskilled workers.
Answer =
pounds
B) Find an expression (fr) for the rate of change of output with respect to the number of skilled
workers.
Answer =
fx
=
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 10 skilled workers and
42 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 10 skilled workers and
42 unskilled workers are employed. (Your answer will be a number.)
Answer =
weekly pounds per unskilled worker
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