Consider a firm that is planning an advertising campaign for a new product.

Goals set for the campaign include exposure to at least 100,000 individuals, no

fewer than 80,000 of whom have an annual income of at least $50,000 and no

fewer than 40,000 of whom are single. For simplicity, assume that the firm has

only radio and television media available for this campaign. One television

advertisement costs $10,000 and is expected to reach an average audience of

20,000 persons. Ten thousand of these individuals will have an income of $50,000

or more, and 4,000 will be single. A radio advertisement costs $6,000 and reaches

a total audience of 10,000, all of whom have at least $50,000 in income. Eight

thousand of those exposed to a radio advertisement are single.