At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds ofacetate fibers that can be produced is given by the function:z = f(x, y) = 10500x + 4500y + 6x²y - 8x³Where:z = the weekly # of pounds of acetate fiberx = the # of skilled workers at the planty = the # of unskilled workers at the plantDetermine the following:A) The weekly number of pounds of fiber that can be produced with 14 skilled workers and 33 unskilledworkers.Answer =B) Find an expression (f) for the rate of change of output with respect to the number of skilled workersAnswer = f=C) Find an expression (fy) for the rate of change of output with respect to the number of unskilledworkers.Answer =poundsD) Find the rate of change of output with respect to skilled workers when 14 skilled workers and 33unskilled workers are employed. (Your answer will be a number.)Answer =Answer =weekly pounds per skilled workerE) Find the rate of change of output with respect to unskilled workers when 14 skilled workers and 33unskilled workers are employed. (Your answer will be a number.)weekly pounds per unskilled worker

When partial deriving a function f(x,y) with respect to x We treat y as constant and vice versa.The…

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) = 10500x + 4500y + 6x²y - 8x³ 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 14 skilled workers and 33 unskilled workers. Answer = B) Find an expression (f) for the rate of change of output with respect to the number of skilled workers Answer = f= pounds 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 14 skilled workers and 33 unskilled workers are employed. (Your answer will be a number.) Answer = Answer = weekly pounds per skilled worker E) Find the rate of change of output with respect to unskilled workers when 14 skilled workers and 33 unskilled workers are employed. (Your answer will be a number.) weekly pounds per unskilled worker