Acme Co. is planning an advertising campaign for their new product. Three commer

Question

Acme Co. is planning an advertising campaign for their new product. Three commercials have been produced and are ready to air. The costs of airing one commercial during different timeslots of the day are listed in the following table. Acme Co. wants each of the three commercials to air on two different timeslots. In addition, the company does not want all three commercials to air during the same timeslot. Develop a linear programming model to minimize the marketing cost while meeting the requirements above.

Timeslots

Commercials

Daytime

Evening

Late Night

Ad-1

200

650

600

Ad-2

500

420

350

Ad-3

400

700

450

Timeslots

Commercials

Daytime

Evening

Late Night

Ad-1

200

650

600

Ad-2

500

420

350

Ad-3

400

700

450

Explanation / Answer

assume commercial Ad-1 is being aired x times, Ad- 2 is being aired y times, Ad-3 is being aired z times., in all three slots

so airing Ad-1 in Day times, Evening time and Late night have following costs,
day time= 200x,
Evening time= 650x
Night time = 600x

Airing Ad-2 in follwing slots ahve following costs,
day time= 500y
evening time =420y
night time =350y

Airing Ad-3 in following slots have following cost
day time= 400z
evening time =700z
night time= 450z

For minimizing total cost, we must have minimum cost in all three slots, that is morning evening and night time,

So we can have following linear model to minimize cost in all three intervals,

Min , 200x + 500y + 400z
Min, 650x + 420y + 700z
Min, 600x+ 350y +450z
where x>0, y>0, z>0

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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