2 6. A more challenging problem! The probleme me a challenges wery if you como completo com a well in the come without it A metallurgist has performed a number of experiments showing the number of twists required to break a certain kind of forged alloy bar. The results depend on the percentages of two alloying elements present in the metali Number Percent of Percent of of Twists element element 41 5 49 5 3 5 65 4 5 40 10 50 2 10 58 3 10 57 4 10 31 1 15 16 2 15 44 3 15 57 4 15 19 1 20 31 2 20 33 3 20 43 20 1 The metallurgist wants to fit an expression of the form y = a +bx+b,x, to the experimental data in fact, he wants to know the values of a, b, and that produce a best it to the data. The metallurgist decides to measure the quality of his fit using the total absolute error. Therefore, he wants to determine a, b, and be so as to minimize the quantity ly-a-by-byxel -141 - - 1,- 56,1+149-4-2, -5+143 - 2 - 4, - 2001 Formulate the metallurghat's problem as an LP. Finally, solve the LP using LINDO (attach a printout of the LINDO output) 2 6. A more challenging problem! The probleme me a challenges wery if you como completo com a well in the come without it A metallurgist has performed a number of experiments showing the number of twists required to break a certain kind of forged alloy bar. The results depend on the percentages of two alloying elements present in the metali Number Percent of Percent of of Twists element element 41 5 49 5 3 5 65 4 5 40 10 50 2 10 58 3 10 57 4 10 31 1 15 16 2 15 44 3 15 57 4 15 19 1 20 31 2 20 33 3 20 43 20 1 The metallurgist wants to fit an expression of the form y = a +bx+b,x, to the experimental data in fact, he wants to know the values of a, b, and that produce a best it to the data. The metallurgist decides to measure the quality of his fit using the total absolute error. Therefore, he wants to determine a, b, and be so as to minimize the quantity ly-a-by-byxel -141 - - 1,- 56,1+149-4-2, -5+143 - 2 - 4, - 2001 Formulate the metallurghat's problem as an LP. Finally, solve the LP using LINDO (attach a printout of the LINDO output)