Follow the steps below to find the nonnegative numbers* * and y that satisfy the given requirements . Give the optimum value of the indicated...

lease make sure you express it so i can verify and understand it; thank you

Follow the steps below to find the nonnegative numbers* * and y that satisfy the given requirements . Give the optimum value of the indicated expression . Complete parts ( a ) through ( F ) below .* * * = 180 and the product F = xy as large as possible.( a ) Solve x + Y = 180 for y. ( Type an equation . )( b ) Substitute the result from part ( a ) into F = xy , the equation for the variable that is to be maximized ( Type an equation . )( C ) Find the domain of F found in part ( 6 ) _\ ( Type your answer in interval notation . )( d ) Find }~.Ex - Solve the equation _ _ _`APdix = [ and when ax" dix = 0 , * = \ \ ( Use a comma to separate answers as needed . )( @ ) Evaluate Fat any solutions found in part (9), 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*O A. There were two solutions in part ( d) . For the lesser value of * , P =\\. For the greater value of x , P =\\OB . There was one solution in part (d) . For that solution , P =\\Evaluate Fat the endpoints of the domain . At the lower endpoint , P = \\ . At the upper endpoint , P = \\( F ) Give the maximum value of F, as well as the two numbers , * and y , whose product is that value .P =\\ when * = [ and y = [