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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) = 9000x + 4000y+7x²y - 11x³ Where: z = the weekly # of pounds of acetate fiber. 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 346800 pounds B) Find an expression (f) for the rate of change of output with respect to the number of skilled workers. Answer = f = 9000+ 14xy-33x² Answer= pounds per skilled worker O C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answerf 4000 + 7x² 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 unskilled worker Question Help: Video OⓇ Submit Question 0 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 weekly

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. 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 346800 pounds B) Find an expression (f) for the rate of change of output with respect to the number of skilled workers. Answer = f = 9000+ 14xy-33x² Answer= pounds per skilled worker O C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answerf 4000 + 7x² 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 unskilled worker Question Help: Video OⓇ Submit Question 0 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 weekly

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 39PS
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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) = 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 346800 pounds B) Find an expression (fr) for the rate of change of output with respect to the number of skilled workers. Answer = f = 9000+ 14xy-33x² C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy = 4000+ 7x² Answer = pounds per skilled worker 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.) OB Answer = pounds per unskilled worker Question Help: Video O Submit Question 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 weekly
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 346800 pounds B) Find an expression (fr) for the rate of change of output with respect to the number of skilled workers. Answer = f = 9000+ 14xy-33x² C) Find an expression (fy) for the rate of change of output with respect to the number of unskilled workers. Answer = fy = 4000+ 7x² Answer = pounds per skilled worker 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.) OB Answer = pounds per unskilled worker Question Help: Video O Submit Question 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 weekly
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