A boeing-747 is flying from New York City to Los Angeles. It leaves La Guardia Airport in NYC at 9:20am with an expectred arrival time at LA of 1:38pm. However, when it reaches Springfield (Illinois) which is 920 miles away from NYC, the piolets are informed that there is a storm in their path which they must avoid. In order to do so they turn 38 degrees to the right. Eventually they cleared to turn back left and return to their original flight path. They rejoin the path when they reach the four corners which is still 650 miles from LA at which point the piolets make one last turn 52 degrees to the right in order to head directly to los angeles. They arrive without futer incidents. How many minutes was the flight delayed

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)