Suppose that U and g are two twice differentiable functions of x, both of them increasing and concave, with U’ ≥ 0, U” ≤ 0, g’ ≥ 0, and g” ≤ 0. Prove that the composite function f(x) = g(U(x)) is also increasing and concave.
Answer to relevant QuestionsMy current field is a Biller/ administrative assistant @ an engineering firm, hope it helps. Formulas are equations that have been used so frequently in certain applications that they have become standard. Examples are the ...Do conclusions that are not logically supported invalidate the entire study? Why or why not?The catering manager of La Vista Hotel, Lisa Ferguson, is disturbed by the amount of silverware she is losing every week. Last Friday night, when her crew tried to set up for a banquet for 500 people, they did not have ...Consider a project with net benefits NBt in period t: NB0 = –30, NB1 = 15, NB2 = 25, NB3 = –3.a. Find the net present value if the discount rate is r = 6%, 8% and 10%.b. Now assume that the discount rate changes across ...Discuss how the U.S. Treasury’s decisions influence the Fed’s daily open-market operations.
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