Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P. x+y = 102 and P=xy is maximized a. Solve x+ y = 102 for y. y = 102- x b. Substitute the result from part a into the equation P =xy for the variable that is to be maximized. P= 102x -x c. Find the domain of the function P found in part b. (Simplify your answer. Type your answer in interval notation.)

Question
Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P.
x+y = 102 and P=xy is maximized
a. Solve x+ y = 102 for y.
y = 102- x
b. Substitute the result from part a into the equation P =xy for the variable that is to be maximized.
P= 102x -x
c. Find the domain of the function P found in part b.
(Simplify your answer. Type your answer in interval notation.)
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Transcribed Image Text

Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P. x+y = 102 and P=xy is maximized a. Solve x+ y = 102 for y. y = 102- x b. Substitute the result from part a into the equation P =xy for the variable that is to be maximized. P= 102x -x c. Find the domain of the function P found in part b. (Simplify your answer. Type your answer in interval notation.)

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