Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. 23) Labor and material costs for manufacturing each of three types of products M, N, and P are given in the table: Product The weekly allocation for labor is $50,000 and for materials is $80,000. There are to be 3 times as many units of product M manufactured as units of product P. How many of each type of product would be manufactured each week to use exactly each of the weekly allocations? Set up a system of linear equations, letting x1, x2. and x3 be the number of units of products M. N, and P, respectively, manufactured in one week. Perform the indicated operations given the matrices. 24)LetA:[13]anclB:[ 04];3A+B 2 5 -1 6 A) 313 B) 321 C] 37 D) 313 5 21 3 33 5 11 1 1] Perform the operation, if possible. 2 1 1 2 25) LetA = 0 ' and B: 0 1 .Find AB. 4 1 0 _2 _1 Find the values of a, b. c, and d that make the matrix equation true. 26) a b 0 5 = 3 7 c d -4 7 2 1 Ml" ] ml 3\"] 0F 2] ml'g'zl 68 2 6 68 6 8 27) [3 ill? 3] i ii \"i \"l mm lm] \"i 5 1] 2 5 4 2 0 1 2 4 Determine whether B is the inverse of A. 21 0 11 2 28M: 112 ,3: 324 1 01 1 11 A]Yes B)No Solve the system as matrix equations using inverses. 29) There were 340 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $490. How many adults and how many children attended? A) 190 adults and 150 children B) 122 adults and 218 children C) 150 adults and 190 children D) 95 adults and 245 children