Question

Now use Cramer's rule to find your answer. There are three types of life insurance policies that a sales representative can sell: term, whole life, and universal life. The following matrix gives the number of policies sold by three different representatives during a recent month: Term representative A 30 representative B 24 representative C 34 Whole Life 8 10 6 Universal Life 40 32 38 Assume representatives A, B, and earned S4400, S4060. and $4160, respectively in commissions for these sales. The commission earned depends only on the type of policy sold and is the same for all representatives. (10) Use the inverse matrix method to find the commission that is earned for selling a policy of cách type. (10) 11) Now use Cramer's rule to find your answer. (15) 4 You are the distributor for a certain brand of wine. The manager of a local liquor store has just

question 3 part i)

Answer 1

Given matrix [x] matrix [bo] : matrix [a] Term whole Universal . life life A [ 30 8 40 ] 24 10 327 [34 6 38 / 44007 . B . Nox 4060 [ 4160 [a] [x] = [b] No. of sells Wil d per unit Commission total caried commission on noun [X] [a]"[b] Грея 4+ . Co- um58709 7 We total earned I commission selis 17) 1 30 8 407744007 OB G 24 10 3240601 12 [ 34 6 38] [ 460 now calculate inueise [a] [a] - [ 30 8 40 1032 L 346 38 inverse of [a] E n - x Adjoint (a). determinant [a] determinant T 30 8 407 24 10 32 3469 38 38 ) zeijo es 1 + **c13"complete ca [[a] = -792]

## usun cofесtvті «Хивті та vic C +52 71 (-) T2 71 L-4 26 1 LG 38 L34 61 # now cofactors of minors mateix Curs E.)T*'728 33 ) = [tex38 - 32 x6] = 188 412= 649 327 = - (21x38- 32x34) = 176 413 = 6,3497 24 10 (2446 – 10 x 34) = -196 C24 = 6,3947 - (8x38 -6X40) = 1-64 Cz2 = 2134 | 30 4072 (30x38 - 34X4D) = -.2.70 193. = 380og i '- (30x6– Duxe) = 92 Cs1 = (1 897 ) = (8x32 - Woxio) = -144 632. = 6,990 291 +(3032 – 40X34) = 0 695 = to 3* Moa (3oxca' = 2428) = 108 L 34 38 Matrix of nie met matrix of minory cofactor = 188. -64 1761-1967 -220 92 o 108 -1894 Adjoint of [a] - transpose of minors cafe ctor mator's

188 Adjoint -64 - 144 -2200 92 108] 1 -196 now invers [a] = I x Adj [a] Tapi I (792) 188 176 7-196 -64 -1447 -220 92 108/ 792 #how per unit comú üssten 17 -188/192 y 12.1 - 176/92 - 1 196/92 67142 14992 1 [ 44007 220/92 o - 9/192 - 108/192 4066 416ol 4400 + GY 792" X 4060 + 144 792 7-176x4400 + 2 x 4060 + o X4400 + 4060) +(- 196 792 4760 407 commission earned by A, B, C is $40, $150 $ 50.