There are two cable companies in the Foogene/Tringeld area. Currently, 50,000 households use DecadeLink but the other 200,000 use Dimcast. You, the...

please be able to explain and describe the steps on how to solve these problems. I am a little confused on how to begin. Thanks!

3. There are two cable companies in the Foogene/Tringfield area. Currently, 50,000 households useDecadeLink but the other 200,000 use Dimcast. You, the chief marketing director for DecadeLink,have just fired up an aggressive marketing campaign to increase your market share. You believeyou can eventually persuade everyone in the area to switch to your product, i.e., in the long runall 250,000 households will use DecadeLink. At the beginning of the campaign, you find thatpeOple start switching to DecadeLink faster and faster for a while. However, after one month ofthe campaign, you notice that the advertising starts being less effective as the rate that peeple areswitching to DecadeLink starts to tail off. (a) Construct a logistic model for the number N (t) of households which use DecadeLink after 15months of the campaign. So BN t = —( ) 1 + Are—BI“1tfor some positive constants A, B and k which you need to determine. You’ll need the infor-mation from Figure 4.15 in the textbook: for the logistic function of this form N (0) = 1%,, 1im,,_>00 N (t) = B, and the point of inflection occures at time t = %. (b) Using your model, estimate how long it will be before DecadeLink has 200,000 customers inFoogene/Tringfield.