Neco Model Questions Vol1 2019 Commerce Question 45

An advertising agency plans a 6‑week campaign using two media: TV and radio. A TV spot costs \(\text{₦}250,000\) per week and reaches 1.5 million viewers per week. A radio spot costs \(\text{₦}80,000\) per week and reaches 0.8 million listeners per week. The target is to achieve at least 8 Gross Rating Points (GRPs), where for each medium GRP = (reach in millions) \(\times\) (number of weeks the spot runs). The agency must allocate whole weeks to each medium (the sum of TV weeks and radio weeks is 6). Determine the allocation of weeks to TV and to radio that meets the GRP target at the minimum total cost. State the number of weeks for TV, the number of weeks for radio, and the total cost (in naira).