APPM 2350 Midterm: appm2350fall2016exam2_sol
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Instructions: electronic devices, books, and crib sheets are not permitted. Write your (1) name, (2) instruc- tor"s name, and (3) recitation number on the front of your bluebook. Solution: since hx = 2xy exp( x2 y2) and hy = (1 2y2) exp( x2 y2), setting hx and hy simulta- neously to zero yields two critical points, (0, 1/ 2) and (0, 1/ 2). Solution: walk in direction of h = 2xy exp( x2 y2) i + (1 2y2) exp( x2 y2) j. Thus dh/ds = h u = j j = 1: (20 points) you are consulting for a candy company that manufactures two colors of candy: green, and red. Let g and r denote the number of green and red candies manufactured each year. After doing some research, you have determined that the total sales the company brings in each year in dollars, s, is given by the function.
