Gce Model Questions Vol1 2018 Commerce Question 45

An advertising agency is planning a media campaign that will use TV and radio spots. - A TV 30‑second spot costs \(₦120{,}000\), reaches \(1.2\) million viewers and has an average frequency factor of \(1.1\). - A radio 60‑second spot costs \(₦30{,}000\), reaches \(0.6\) million listeners and has an average frequency factor of \(1.3\). The client requires a total Gross Rating Point (GRP) of at least \(250\), with the TV contribution being exactly twice the GRP contributed by radio. The client's media‑buying budget is \(₦2{,}250{,}000\). How many TV spots and how many radio spots should be purchased to satisfy all constraints? State whether the budget is sufficient; if it is not, give the shortfall amount.