Question: In this problem the input is the values of a real-valued function f at the integers 1, . . . , n. Affine linear functions

In this problem the input is the values of a real-valued function f at the integers 1, . . . , n. "Affine linear functions" are functions of the form g(x) = ax b. We are interested in finding an affine linear function g which is closest to f in the sense that it minimizes n k=1 |g(k) f(k)| . Show how to formulate this as a linear programming problem. (You do not need to put it in "stan- dard form".)

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