Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements. Give the optimum val

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Follow The Steps Below To Find The Nonnegative Numbers X And Y That Satisfy The Given Requirements Give The Optimum Val 1 (47.14 KiB) Viewed 32 times

Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of the indicated expression. Complete parts (a) through (1) below x+y=170 and the product Paxy as large as possible. (a) Solve x+y=170 for y. (Type an equation.) (b) Substitute the result from part (a) into P=xy, the equation for the variable that is to be maximized. (Type an equation.) (c) Find the domain of P found in part (b) (Type your answer in interval notation.) (d) Find dP dP dx dx Solve the equation and when dP dx -=0. =0, x=(Use a comma to separate answers as needed.) (e) Evaluate P at any solutions found in part (d), as well as at the endpoints of the domain found in part (c). To answer the first part, select the correct choice below and, if necessary, fill in the answer box(es) within your choice. OA There were two solutions in part (d). For the lesser value of x, P= For the greater value of x, P= OB. There was one solution in part (d). For that solution, P= Evaluate P at the endpoints of the domain. At the lower endpoint, P=At the upper endpoint, P= (1) Give the maximum value of P, as well as the two numbers, x and y, whose product is that value. P=when x=andy- GEILE Ⓒ Time R