1) What is one of the advantages of using nonlinear programming?2) Which of the followings are examples of a nonlinear function?a. P= 5 X + 7 X2 – 2 X2.b. P= 8 X1 – 4 X2.c. P= X1 + 6 X2 + 3 X1*X2.d. All of the above3) A separable programming problem is actually a two or more linear programming problems.(T / F)4) A separable programming problem has more than one decision variable (T / F)5) A nonlinear programming problem may have only two local maxima (T / F)6) Problems with increasing marginal returns are generally easier for Solver to solve than problems with decreasing marginal returns. (T / F)7) Using the below function, please answer these questions:a. Number of local minimum(s)b. Number of global minimum(s)Bonus: (2 points each)1) The Evolutionary Solver requires that the constraints all be linear. ( T / F ) 2) We can approximate a nonlinear programming problem by a linear one. ( T / F ) 3) If the slope of a curve on a profit graph never increases but sometimes decreases as the level of the activity increases, then it is said to have increasing marginal returns. ( T / F )4) A nonlinear programming problem will have how many local maxima?a. 0b. 1c. 2d. 3It can have any number of local maxima.

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