Dorian Auto manufactures luxury cars and trucks. The company believes that its most likely customers are high-income women and men. To reach these groups, Dorian Auto has embarked on an ambitious TV advertising campaign and has decided to purchase 1-minute commercial spots on two types of programs: comedy shows and football games. Each comedy commercial is seen by 7 million high-income women and 2 million high-income men. Each football commercial is seen by 2 million high-income women and 12 million high-income men. A 1-minute comedy ad costs $50,000, and a 1-minute football ad costs $100,000. Dorian would like the commercials to be seen by at least 28 million high-income women and at least 24 million high-income men. Use linear programming to determine how Dorian Auto can meet its advertising requirements at minimum cost

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 Solve the LPP using graphical corner point method.

i. What is the value of the descision variables?      

ii. What is the value of the objective function?

Dorian Auto manufactures luxury cars and trucks. The company
believes that its most likely customers are high-income women and
men. To reach these groups, Dorian Auto has embarked on an
ambitious TV advertising campaign and has decided to purchase
1-minute commercial spots on two types of programs: comedy
shows and football games. Each comedy commercial is seen by 7
million high-income women and 2 million high-income men. Each
football commercial is seen by 2 million high-income women and
12 million high-income men. A 1-minute comedy ad costs $50,000,
and a 1-minute football ad costs $100,000. Dorian would like the
commercials to be seen by at least 28 million high-income women
and at least 24 million high-income men. Use linear programming
to determine how Dorian Auto can meet its advertising
requirements at minimum cost
Transcribed Image Text:Dorian Auto manufactures luxury cars and trucks. The company believes that its most likely customers are high-income women and men. To reach these groups, Dorian Auto has embarked on an ambitious TV advertising campaign and has decided to purchase 1-minute commercial spots on two types of programs: comedy shows and football games. Each comedy commercial is seen by 7 million high-income women and 2 million high-income men. Each football commercial is seen by 2 million high-income women and 12 million high-income men. A 1-minute comedy ad costs $50,000, and a 1-minute football ad costs $100,000. Dorian would like the commercials to be seen by at least 28 million high-income women and at least 24 million high-income men. Use linear programming to determine how Dorian Auto can meet its advertising requirements at minimum cost
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