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Mrs. Smith has to go to the city center to finalize several details related to her daughter's birthday party. The lady wants to find a strategic point to park her car without having to move it while she makes her commitments and that the total travel time, from the car to the different points where she has to go, is minimal.

The streets that run from North to South are numbered consecutively. The streets that run from East to West are assigned, consecutively, a letter of the alphabet. The blocks are square with 100 meters. per side.

The lady has to pick up the cake from the pastry shop located on 6th and E streets. To do this, she must make the journey at a speed equal to half the normal speed to prevent the cake from falling. She must go to the grocery store and the clothing store, which are located on 10th and D and 12th and G streets respectively. The travel speed should be normal.

She also has to pick up her daughter at the beauty salon, which is located at 10th and G streets, moving at twice the normal speed to prevent drafts from ruining her daughter's beautiful hairstyle. Yes, the parking point must be at the intersection of two streets and the distance in crossing the streets is ignored.

a) What is the point to park the car that minimizes the total travel time of the lady from the car to the various places? b) what is the value of the optimal solution?'