Section 9.31) It is estimated that the weekly output of a certain plant is given by the function units, where x is the number of skilled workersQxyxy xy xy(,)=++−−1200500232and y the number of unskilled workers employed at the plant.a) Find ∂∂Qxb) Find ∂∂Qyc) Find and interpret ∂∂Qx(,)100 50d) When there are 30 skilled workers and 60 unskilled workers employed at the plant, howrapidly is weekly output increasing with respect to the number of skilled workers.2) Referring to the beef consumption example of section 9.1, when the household income is$20,000 and the price of beef is $4.50, how rapidly is beef consumption changing with respect tohousehold income?3) Referring to the function from example 1, findxy+−−2the second partial derivatives .Q xyQ xyQ xyandQ xyxxxyyxyy,,,Section 10.21) Evaluate the determinant of each matrix:a) b) 310216110−2) The annual cost for labor and specialized robotics equipment for an automobile manufacturer,in millions of dollars, is given by , where x isCxyxxyyxy.=++−−+
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This note was uploaded on 05/28/2011 for the course MAC 2233 taught by Professor Royer during the Fall '08 term at FIU.