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optimization question Problem 2: A TV station wants to broadcast in a set of cit

ID: 370926 • Letter: O

Question

optimization question

Problem 2: A TV station wants to broadcast in a set of cities. In order to do that, to each city a broadcasting frequence must be assigned. In the graph below, each node represent a city, and edges connect cities to which one cannot assign the same frequence. In order to have the right to transmit on a certain broadcasting frequence, the TV station must buy exclusive rights on that frequence, and that will cost $ 500,000. 1. Formulate the problem of broadcasting in all the cities below at a minimum cost. Solve it using 2. Now formulate the problem above in general terms, i.e. when we have in input a generic graph 3. Now suppose that, for each city v, we have a profit py associated to broadcasting in v. Formulate, for Gurobi or your favourite solver (submit the lp file and resultfile). G(V,E) a generic input, the problem of choosing in which cities to broadcast as to maximize the profit. Solve the problem using Gurobi or your favourite solver for the graph above and cc5300,000, 2 600, 000, c 100,000, c4400,000 (submit the lp file and resultfile)

Explanation / Answer

Hi,

Thanks for the question.

4 P's define the marketing strategy for any company or for a particular brand. This is the strategy to reach and market the product to the customers.

The 4 P's will be:

Product: As mentioned, the product for this particular scenario will be McChicken and Big Mac.
Price: Price generally should be according to the perception of the customers to see its worth. They should consider to price the product moderately not on a low price because that would give the feel as the quality compromised.
Place: That should be very evenly distributed across the outlets in the US. The product will be very popular so the company should be very efficient in the distribution.
Promotions: Mcdonald's is very aggressive in terms of the advertising mostly in the Tv advertisement or OOH branding.