Question

Question 210 marks You shoud be able to answer this question after stulying Unit 9 You can use Mazima to do the matriz arithmetic in this question, or you an do it by hand If you use Mazima, then you do not need to include a printout, but you must include sufficient details in your solution to make it clear what aleulations Marima has done. Two fitnes centres, centre X and centre Y, provide courses for track athletes A, foot ballers B and cyclists C. During the year 2017 60% of track athletes A went to crntre X and 40% went to centre Y 70% of footballers B went to centre X and 30% went to Centre Y 25% of cyclists C went to centre X and 75% went to centre Y (a)) Draw a network diagram with input nodes A, B and C and out put nodes X and Y, that represents which centre the track athletes, the footballers and the cyclists attended (ii) Write down the matrix that represents this network (ili) Use the matrix that you found in part (a)() to determine how many people attended fitness centre X during 2017, if thembers of track athletes, foot ballers and cyclists were 1200, 1400 and 1000 (b) Each centre offers three couses People can attend a course in strength nutrition (F). The network diagram below represents the proportion of [21 respectively and conditionig (D), a course in endurance (E) or a course in people who attended each course 0.4 0.2/ 0.4 0.2 0.6 The matrix that represents this network is 0.4 0.6 0.4 0.2 (i) Find the single matrix that represents the network obtained by combining the etwork in part (a)(i) with the network above. (That is, the combined network represents the number of people from each sports group, A, B, and C that attended the strength and conditionig cou (D)r the endurance course (E) or the nutrition course (F).) [21 i) Find the numbers of people who attended the strength aned conditioningc, the endurance course and the nutrition course, if the numbers of track at hletes, foot ballers and cyclists who attended the centres were 1200, 1400 and 1000 respectively

Answer 1

(リ 0. O .b 0r 0寸 db 0.7 02s /120 0 0.75 1400 t0o0 lot、x' be the nuencher center X

720+980 +25D 1950y /0.6 0, 25 \ 0.7 10, 20.2 04 .2 0 12+042+0. 05 12 +0.2s+o. 0 08 t0.12 +0.3 0.59 ert bnllers and nubilien in Center D, Ead F rem

0.2 0.2 0, 2 1770 1110 120 |770 pec ple IID Pecple in E しわに レn