A marketing team is given a budget of 30,000 to advertise a new show. It wants to promote this show using two methods, internet and posters. The executives have decided that the overall budget used on the internet can't be greater than double the budget used on posters. Furthermore, at the least, a quarter of the total budget must be used on each method. The marketing team uses an index that measures customer contact for every dollar spent on the ad. The index may range from 0 to 100 (bigger meaning more customer contact). The internet has an index of 60 and the posters have an index of 90.
How should the marketing team organize it's budget to maximize contact?
The Attempt at a Solution
let x = $ spent on internet ad
let y = $ spent on poster ad
This is where I am having a tremendously hard time. I know that we want to max customer contact. So let Cmax be the objective function. What i am unsure of is whether Cmax is an index, or the actual number of contacts, or a dollar value? I believe it should be a dollar value because the problem deals with monetary units. So Cmax = I + P, where I is the internet portion of the contact and P is the poster portion. Now, Cmax = ix + py, where i is internet portion and p is poster portion. Now I am unsure of what i and p are... I can't let i and p be the indices given... So do i have to convert the indices? And how would i go about doing so?
Thanks in advance,
I Like Pi