Grilled cheese math assignment Essay

In our fuss for the week of modified topics were are given a task regarding achieving a best succession to sterilise latticeed cheeses in a economic manner in the shortest amount of time. The line states You need to make five cooked cheese sandwiches. You take over a grillwork that is large enough to crisp ii sandwiches at a time. The sandwiches must be heat up integrity moute on each font. It takes 3 momentonds to passing game a sandwich and 5 dryonds to take wholeness off or sit one on the grill. What is the shortest time needed to toast each in all five sandwiches? So with the learning given we john conclude that the sandwiches have to be toasted at least(prenominal) 5 mins so it is obvious we pious platitude get anything lower then 5 mins. Next we make an assumption that we can flip two sandwiches at the like time as well as take off and redact on two sandwiches as well as take off two sandwiches all simultaneously. So the best way to act this probl em would be to first simpify the problem so that it is easier to see the soultion. So I decided to label the grill cheeses. each(prenominal) side is denoted by A, B,C, D, E. So assume the time starts for for the countdown when the two sandwiches are delegate on the Grill. touchstone 1 A B toasted one side 1 min =1min misuse 2 Now strike B and put C 5sec+5sec+3sec=13 sec( for removing B 5 sec + put C 5 sec+ flip A 3sec) Step 3 A C toasted on grill 1 min =1min Step 4 Now Remove A(completed) and put D 5sec+5sec+3sec=13 sec ( for removing A 5 sec + put C 5 sec+ flip C 3sec) Step 5 C D toasted on grill 1min =1min Step 6 (remove C(completed) ,put E, flip D) 5sec+5sec+3sec=13 sec Step 7 D E toasted on grill toasted 1 min =1min Step 8 remove D(completed), put B , flip E 5sec+5sec+3sec=13 sec Step 9 B E toasted on Grill 1 min =1min TOTAL = 5 min. 52 secThe process stops as all the five sandwiches are toasted, time is not counted for not taking the A and E off the grill. So the shortest time achievable needed for grilling all the five sandwiches as well as taking them off is 5 transactions and 52 seconds.