Question

Part II (50 marks) ad- The advertising alternatives for a company include television, radio, and newspaper vertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio Cost per advert 2,000 600 300 Audience per advert 100,000 40,000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio, and at least 10% should occur on television. The weekly advertising budget is €18,200. The company want to maximise the total audience 5. The company realise that in their initial analysis, they forgot to allow for the ad ministration cost per advert - i.e., 100, 50 and 20 per advert for television, newspaper and radio, respectively. The weekly administration budget is 1,200. (a) Using the optimal solution from Q2., set up the new augmented matrix and state the row operations required (do not perform the row operations) that would return the solution to its optimal form. [8 marks] (b) Without performing row operations, will the addition many advertisements should be run in each of the three types of media to maximise the total audience? Justify your answer. [2 marks] al constraint change how

Answer 1

ing C.on시.aln t, tndude dhe foll 2. 0 The imtial simple table will be aJ foll s Qo6 3 0 0 0 000004000 10400o 0o

Now Pi'hiol table e apply the sîmplck mohod ß as d 0 10000 fent-) 0 23 ( 2 23 o00 media no ofadds COSt O00 N0 u 2-00 08