s. Formulate only the following goal problem. DBE first! There are different med

Question

s. Formulate only the following goal problem. DBE first! There are different media-television, radio, and nagazines. The puztyisto advertising program is to reach as many of the potentia possible. Results of a narket study are given below An advertising company vishes to plan an advertising os decision variables in this problemn. DEFINE your variables campaign in three purpose of the potential customers as Television Radio Magazines Daytime Prime Time cost of an advertising unit $40,000 $85,000 $30,000 $15,000 Number of potential customers reached per unit 400,000 900,000 500,000 300,000 Number of women customers 500,000 400,000 500,000 100,000 reached per unit The company has an advertising budget of $700,000 and has the following goals to achieve in order of importance: 1. At least 1 million exposures should take place among women. 2. Advertising on television to be limited to $500, 000. 3. Achieve total exposure of 3 million potential customer. 4. Advertising budget should not be exceeded by more than 10% 5. The ising units on radio and magazine should each be number of advert between 8 and 10. 6. At least 3 advertising units to be bought on daytine television, and 2 units during prime time.

Explanation / Answer

there are 4 decision variables

x1a - television - daytime

x1b - television - prime time

x2 - radio

x3 - magazines

Maximize Z = 4 *x1a + 9*x1b + 5*x2 + 3*x3

constraints

5 *x1a + 4*x1b + 5*x2 + x3 > = 10

4 *x1a + 8.5*x1b <= 50

4 *x1a + 9*x1b + 5*x2 + 3*x3 >= 30

4 *x1a + 8.5*x1b + 3*x2 + 1.5*x3 <= 77

8 <= x2 <= 10

8 <= x3 <= 10

x1a >= 3

x1b>= 2

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.