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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