Consider the following system of equations: 2x + 3y + 3z = 2 4x - 3y - 6z = 2 10x - 6y + 3z = 0 The determinant of the matrix is: O a. -288 O b. 144 O c. 306 O d. -196Given values - 144, -192, and 96 for D, Dy, and Dz respectively and D = 144. Then the solution to the system for x, y and z are: O a. -0.47, -0.63 and 0,30 O b. 0.5, 0.67 and-0.33 O C. 0.73, 0.98 and -0.49 O d. -1. -1.33, and 0.67The inverse of a 3 x 3 matrix may be found by transposing the: O a. Matrix cofactors and multiply the result by the determinant b. Coefficient matrix and multiplying the result by the determinant "Matrix of cofactors and multiply the result by the reciprocal of the determinant. d Coefficient matrix and multiplying the result by reciprocal of the determinant\fThe primary purpose of the basic economic order quantity model is a. to minimize the sum of carrying cost and holding cost O b. to minimize the sum of setup cost and holding cost "to calculate the reorder point, so that replenishments take place at the proper time O d. to maximize the customer service level