How many pies can I bake in one shift 1 baker in the shop 1

How many pies can I bake in one shift? 1 baker in the shop 1 oven with a capacity of 12 pies bake time 30 min prep time 3 min per pie 1 min to load oven 1 min to unload oven 8 hour shift 2- 10 min breaks 1 15 min break and 15 min end of shift clean up

Solution

Total time in 8 hr shift = 60*8 = 480 min

Break time + clean up time = 2*10 + 15 + 15 = 50 min

working time = 480 - 50 = 430 min

Calculate the time to bake 12 pies

time required to prep 12 pies = 12*3 = 36 min

time required to load 12 pies = 12 min

time required to bake 12 pies = 30 min

time required to unload 12 pies = 12 min

Total time required for 12 pies = 36 + 12 + 30 + 12 = 90 min

total time required for 48 pies = 4*90 = 360 min

Now remaining time = 430 - 360 = 70 min

Now in remaining time, 30 min will take for baking,

Now time remaining for prep of pie and loading-unloading = 70 - 30 = 40 min

prep time for 8 pie = 8*3 = 24 min

loading time for 8 pie = 8 min

unloading time for 8 pie = 8 min

total time in 8 pie = 30 + 24 + 8 + 8 = 70 min

Total number of pies baked in one shift = 48 + 8 = 56 pies

Let me know in comments if you have any doubt.