Folow the steps below to find the neenegalive numbers and y that satisfy the given requirements. Give the optimum value
Posted: Mon Jul 11, 2022 11:05 am
This questione 5 porte possibi 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 (f) below x*y 290 and the product Pay as large as possible (a) Solvex+y=290 for y (Type an equation) (b) Substitute the result from part (a) into Pxy, the equation for the variable that is to be maximized (Type an equation) (e) Find the domain of P found in part (b) (Type your answer internation) (d) Find OP Solve the equation 0 and when 0. (Use a comma to separate answers as needed) (e) Evaluate Pat any solutions found in part (d), as well as at the endpoints of the domain found in part ( To answer the first part, select the corect choice below and, if necessary it in the answer boxes) within your choice For the greater value of P OA There were two solutions in part (d). For the lesser 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 (f) Give the maximum value of P as well as the two numbers, x and y, whose product is that value. when and y Time Remaining: 00:1521
(a) Solve x+y=290 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 dx dP dP -. Solve the equation = 0. dx dx and when dP -=0, x=(Use a comma to separate answers as needed.) dx (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. A. There were two solutions in part (d). For the lesser value of x, P = B. There was one solution in part (d). For that solution, P=. For the greater value of x, P = Evaluate P at the endpoints of the domain. At the lower endpoint, P=. At the upper endpoint, P=[ (f) Give the maximum value of P, as well as the two numbers, x and y, whose product is that value. P= when x=and y = MIL
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 290 and the product P=xy as large as possible. (a) Solve x+y=290 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 Solve the equation dP dx dP dx -0. dP dx (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. and when - 0.x (Use a comma to separate answers as needed.) OP dx OA There were two solutions in part (d). For the lesser value of x, P= OB. There was one solution in part (d). For that solution, P= For the greater value of x, P= Evaluate P at the endpoints of the domain. At the lower endpoint, P = At the upper endpoint, P= (f) Give the maximum value of P, as well as the two numbers, x and y, whose product is that value. P=when x-andy- KIE