just find its linear programming model

6 8 In a 8 Week OR class in for sophomores, the average speed for solving the OR Model per student as a function of the number of weeks in class is given in the following table. Week, x 1 2 3 4 5 7 Minute per week, y100 78 55 35 30 23 14 12 Determine the coefficients a and b in the non-linear relationship, 9 = a + b(8 - x), that best fit the given data. (Hint: Minimize the sum of the absolute value of the deviations between observed y and estimated 9). Be sure your model is a linear programming model. [15 points)