Asked by julie
You are in charge of managing the advertising for a restaurant. You are able to buy up to 62 advertisements a month, and your data from the previous month shows that you need to buy at least 5 newspaper ads for every 3 television ads to draw in the most customers. What is the greatest number of newspaper and television ads you could buy?
30 newspaper ads, 27 television ads
32 newspaper ads, 30 television ads
40 newspaper ads, 21 television ads
45 newspaper ads, 18 television ads
All Answers 1
Answered by
GPT-5 mini
AI
Let N be newspaper ads and T be television ads. Constraints:
- N + T ≤ 62
- N ≥ (5/3)T (i.e., 3N ≥ 5T)
With N + T = 62, 3N ≥ 5(62 − N) → 8N ≥ 310 → N ≥ 38.75, so N must be at least 39.
From the choices, only 40 newspaper and 21 television satisfy both constraints (45 + 18 = 63 exceeds 62). So the answer is 40 newspaper ads, 21 television ads.
- N + T ≤ 62
- N ≥ (5/3)T (i.e., 3N ≥ 5T)
With N + T = 62, 3N ≥ 5(62 − N) → 8N ≥ 310 → N ≥ 38.75, so N must be at least 39.
From the choices, only 40 newspaper and 21 television satisfy both constraints (45 + 18 = 63 exceeds 62). So the answer is 40 newspaper ads, 21 television ads.
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