Question

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Throwback THURSDAY Due: Thursday, February 27 NAME: POINTS: Directions: Print this out and provide answers in the space provided. All work must be shown in order to receive full credit. Failure to print this out will result in a lower grade. This is due promptly at the start of class. Points: This is worth 10 TBT Points Elizabeth, Joey, Ana and Ben are working at the pool this summer. One week, they spend the following amounts of time at three different tasks: Concessions Front Desk Life Guarding Elizabeth Joey Ana 10 Ben The hourly pay (in dollars) for the Concessions is $10, Front Desk is $8 and Life Guarding is $13. a. (2 points) Write a matrix, B, representing the hourly pay for each of the three tasks. Label the rows and/or columns representing the information provided. b. (3 points) Use matrix multiplication to find AB. Interpret the matrix AB.

Answer 1

Given matrix A is for showing Howly spent time in was Tasjes concessions Front desk like Guarding 7 1 2 1 senedett 13 8 9 Aro Hourly Pay (6) 32 Concesion 8 Font desk | المدعو عنا L AB= ro ] 322 338 1 19 113 llo 7 s 8 10 12 16 g 10 Ace 311 1310 matrix AB gives the amount earned by workers in that particular week. As clear from east (6) Ben earned the least amount $310 in that weck. (0) عام2 . 5لبطلمسلممممممممقصدعلم front dock; hero matrix C showing new hously rates

Hourly rate & 10 881•125 I B J Concessions Font Desk Life Guarding 7 AC=11 19 113 1 10 5 8 10 7 12 57 16 9 lol 829 ($ 343$ 319 $ It is clearly the least shown from after revised AC ie. Ana sates (319$ earned

Answer 2

B = Elizabeth [concessions $10 $ 10 1 sio 1 $ 10 for $8 $8 $8 $ $13 $13 $13 $13 Joey Ana | Ben [ con ED L.G Loon FD $10 $8 2.G $13 $ 13 $ 13 1B $ 10 $10 $8 $8 $ 131 Front Life concessions besk gaueding | & Elizabeth AB $110 $ 56 $ 156 13 90 $ 40 $ 208 Joey 8130 & 64 $117. $100 $80 $130 Ben 208 Ana A and B Matrix are element wise multiplied to get amount earned by each person on specific technique Elizabeth ($322 Joy $ 338 Ana $ 311 Ben $ 310 Ben earned least amount that week,

d) Hourly rate increased of by front desk is 12.5% So 125 old hourly rate for Frontheek I OD = 12 tonte 2$1.0240 New rate= $9.0240 concessions Fronta gunding $ 10 $9.0240 $ 13 $ 10 $9.0240 $ 13 $ 10 $9.0240 $13 $ 10 $9.0240 $13 Elizabeth 1 Joey eo В = Ana I Ben ④ new hourly rate:- | Ana [ 329-1680 Elizabeth 3 43.1200 Joey 319.1920 |_320.2400] Ban By new havaly rate Ana earned least amount.