
<> Vi du 2. Quang cao san pham tren truyen hinh la mot hoat dong quan trong trong kinh doanh
cua cac doanl ngliep.
Theo Thong bao s6 10/2019, gia quang cao tren VTV1 la 30 trieu dong cho 15 giay/1 lan quang
cao vão khoang 20h30; la 6 trien dong cho 15 giay/1 lan quang cao vao khung gia 16h00 - 17h00.
Mot cong ty dit dinh chi khong qua 900 trieu dong de quang cao tren VTV1 voi you cau quang
cáo vě só lân phát nhu sau: ít nhát 10 lån quang cao vão khoang 20h30 va khong quá 50 lan quang
cão vão khung giò 16h00 - 17h00.



This problem revolves around calculating advertising costs based on different time slots and a total budget constraint. Let's break it down:

### Information Given:
1. **Advertising costs on VTV1:**
   - **20:30 time slot**: 30 million VND for each 15-second ad.
   - **16:00 - 17:00 time slot**: 6 million VND for each 15-second ad.

2. **Budget constraints:**
   - The company does not want to spend more than **900 million VND**.
   - **At least 10 ads** must be shown during the 20:30 slot.
   - **No more than 50 ads** can be shown during the 16:00 - 17:00 slot.

Let’s define:
- \( x \) = the number of ads in the **20:30 time slot** (costs 30 million per ad),
- \( y \) = the number of ads in the **16:00 - 17:00 time slot** (costs 6 million per ad).

### Equations based on the problem:
1. The total cost equation is:
   \[
   30x + 6y \leq 900
   \]
2. The constraints for the number of ads:
   - \( x \geq 10 \) (at least 10 ads in the 20:30 slot),
   - \( y \leq 50 \) (no more than 50 ads in the 16:00 - 17:00 slot).

### Goal:
Find the number of ads \( x \) and \( y \) that satisfy the constraints while staying within the 900 million VND budget.

#### Would you like me to proceed with solving this step-by-step, or would you prefer a detailed explanation of how to approach the solution?

### 5 Related Questions:
1. How do budget constraints affect advertising strategies in business?
2. How can businesses optimize their advertising spend across different time slots?
3. What factors influence the pricing of TV commercials during different time slots?
4. How do companies decide how many ads to run in a particular time slot?
5. What are the advantages and disadvantages of advertising in prime-time vs. off-peak hours?

**Tip**: Always define variables clearly and understand the constraints before solving a problem involving multiple conditions.

Vi du 2. Quang cao san pham tren truyen hinh la mot hoat dong quan trong trong kinh doanh cua cac doanl ngliep. Theo Thong bao s6 10/2019, gia quang cao tren VTV1 la 30 trieu dong cho 15 giay/1 lan quang cao vào khoang 20h30; la 6 trieu dong cho 15 giay/1 lan quang cao vao khung gia 16h00 - 17h00. Mot cong ty dinh chi khong qua 900 trieu dong de quang cao tren VTV1 voi yeu cau quang cao ve so lan phat nhu sau: it nhat 10 lan quang cao vao khoang 20h30 va khong qua 50 lan quang cao vao khung gio 16h00 - 17h00.

Explore how to optimize advertising costs for VTV1 with a budget of 900 million VND. This problem involves key concepts such as linear inequalities and cost optimization, including specific constraints on the number of ads in prime-time and off-peak slots. Suitable for Grades 10-12.

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