A pizza company plans to open new stores in different locations. They consider 6 possible new locations. There are 9 potential areas each location can serve which are listed in the following table.  Location Areas Served L1 3,4,8 L2 1,2,5 L3 1,4,7 L4 2,6,9 L5 3,5,9 L6 6,8,7 Each area must be served by at least one location. What is the minimum number of locations?

An IE graduate student named Vladimir will soon purchase a new top of the line Apple iPhone or Samsung Galaxy. He bases his choice on the three factors: cost C, ease of use E, and features F. He assigns weights of 0.40 to C, 0.30 to E, and 0.30 to F. For C, he assigns weights of 0.40 to iPhone and 0.60 to Galaxy. For E, he also assigns weights of 0.40 to iPhone and 0.60 to Galaxy. For F, he assigns weights of 0.70 to iPhone and 0.30 to Galaxy. Use these weights in a value tree and determine which phone Vladimir should buy and the corresponding overall weight for the chosen phone. iPhone, 0.53 O Galaxy, 0.51 O iPhone, 0.51 O Galaxy, 0.49 « Previous Next> Simpfun

The owners of an iron ore mine decide to build a railroad line directly from their mine I the market where they sell their ore. Since they are shipping ore already, they decide to also carry passengers and mail in their new rail line. horizontal integration or vertical integration?

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Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas.  The locations under consideration together with the areas that can be covered from these locations are given in the following table: Potential Locations for Substations Areas Covered A 1,5,7 B 1,2,5,7 C 1,3,5 D 2,4,5 E 3,4,6 F 4,5,6 G 1,5,6,7 Find the minimum number of locations necessary to provide coverage in all areas. a) Write out the six steps of the mathematical modeling process.   b) Use Excel to find a solution.

Airline Scheduling. Alpha Airline wishes to schedule no more than one flight out of a given airport to each of the following cities: C, D, L, and N. The available departure slots are 8 a.m., 10 a.m., and 12 noon. Alpha leases the airplanes at the cost of $5000 before and including 10 a.m. and $3000 after 10 a.m., and is able to lease at most two per departure slot. Also, if a flight leaves for location N in a time slot, there must be a flight leaving for location L in the same time slot. The expected profit (in $1000) contribution before rental costs per flight is shown in the table below. Time Slot 8 10 12 C 10 6 6 D 9 10 9 L 14 11 10 N 18 15 10   a) Formulate an integer linear program model that can be used to find the profit-maximizing schedule. Define your decision variables as Xij = 1 if a flight to destination i occurs in time slot j and Xij = 0 otherwise; and Yj = number of airplanes rented for time slot j. Write the objective function and all the constraints. b)…

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