(Answered) As a practice for working with two constraints find x and y

Economics

As a practice for working with two constraints, find x and y that solve the following problem: Max x*y s.t. 2x+2y<=100 and 2x+y<=60 Where <=is "less than or equal to." (A simple story for this math problem is: suppose you want to fence in a rectangular portion of your yard with as much square footage as possible. You have 100 feet of chain link fence---hence the first constraint. Moreover, you have 60 posts, but need to use twice as many in the x direction as in the y direction--- perhaps the x direction is sloped) The optimal x is? The optimal y is?

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