Top toys is planning a new radio and TV advertising campaign. A radio commercial costs $300 and a TV add costs $2000. A total budget of $20,000 is allocated to the campaign. However, to ensure that each medium will have at least one radio commercial and one TV ad, the most that can be allocated to either medium cannot exceed 80% of the total budget. It is estimated that the first radio commercial will reach 5000 people, with each additional commercial reaching only 200 new ones. For TV, the first ad will reach 4500 people and each additional ad and each additional ad an additional 3000 people. How should the budgeted amount be allocated between radio and TV.