Grilled cheese math assignment Essay

In our problem for the week of special topics were are given up a problem regarding achieving a best snip to make grillworked cheeses in a effective manner in the shortest amount of time. The problem states You need to make fiver grilled cheese sandwiches. You agree a grill that is large enough to subscribe two sandwiches at a time. The sandwiches must be toast one minute on each side. It takes 3 seconds to ruffle a sandwich and 5 seconds to take one by or dedicate one on the grill. What is the shortest time needed to toast all five sandwiches? So with the information given we can conclude that the sandwiches have to be crispen at least 5 mins so it is obvious we cant get anything lower then 5 mins. Next we make an assumption that we can flip two sandwiches at the same time as well as take off and put on two sandwiches as well as take off two sandwiches all simultaneously. So the best way to solve this problem would be to first simpify the problem so that it is easier to see the soultion. So I decided to label the grill cheeses. all(prenominal) side is denoted by A, B,C, D, E. So assuming the time starts for for the countdown when the two sandwiches are put on the Grill. flavour 1 A B toasted one side 1 min =1min Step 2 Now Remove 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 th em off is 5 minutes and 52 seconds.