x - y + 3z = 12 4x + z = 5 x + 3y + z = 14 Independent Inconsistent Dependent Gi

Question

x - y + 3z = 12 4x + z = 5 x + 3y + z = 14 Independent Inconsistent Dependent Given the following set of corner points for the feasible solution set, (0, 6), (2, 3), (5, 4) identify the minimum value for the objective function C = 120x + 84y a. C = 336 b. C = 492 c. C= 528 d = C = 936 An automobile manufacturer builds compact cars, sport utility vehicles. Company managers want to run a television campaign to advertise their vehicles to high-income wage earners. They want to run televised ads on business news programs where they believe they can reach at least 8 million women and 5 million men. At the same time, they want to run televised ads on sports events where they believe they can target at least 3 million women and 10 million men. Managers believe they need to reach at least 32 million women and 28 million men to be successful. Each televised ad run on business news programs typically costs $12.000 per one-minute spot compared to $23,000 per one-minute spot on sports events. Using x to represent the number of ads televised on business news programs and y to represent the number of ads run on sports events, state the constraint on the number of women targeted during their ad campaign. a. 8x + 5y greaterthanorequalto 0 3x + 10y greaterthanorequalto 32 8x + 3y greaterthanorequalto 32 8x + 3y greaterthanorequalto 28

Explanation / Answer

A) they are independent as no two equations are the linear combination of the third one .

I.e. no single equation can be written as linear combination of others

B)since we need to minimise the value , hence at (0,6) we have C= 504

At (2,3) it is 492

At(5,4) it is 936

Thus mimimum is at (×,3) with optimal value 492

C) the correct constraint is 6x+3y 32 as the number of women targeted on tv ads is 6 million and that on aports ad us 3 million and at least 32 million need to be targeted .

Hence 3) optuon is correcr

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