Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 23 million women and at least 24 million men who are prospective customers. (a) Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups. (Let x represent minutes of business/investment program ads, and let y represent minutes of sporting events ads.) constraint on millions of women reached constraint on millions of men reached x ≥ 0 constraint on ad minutes, business/investment y ≥ 0 constraint on ad minutes, sporting events (b) Graph the region determined by these constraint inequalities
Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 23 million women and at least 24 million men who are prospective customers.
(a) Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups. (Let x represent minutes of business/investment program ads, and let y represent minutes of sporting events ads.)
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constraint on millions of women reached | |
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constraint on millions of men reached | |
| x ≥ 0 | constraint on ad minutes, business/investment | |
| y ≥ 0 | constraint on ad minutes, sporting events |
(b) Graph the region determined by these constraint inequalities.
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