Question: Time per day 8 hours Batch Size 8 lbs Time per day 480 minutes Donut Size 2 oz Days per week 7 days Donuts/batch 64

Time per day

8

hours

Batch Size

8

lbs

Time per day

480

minutes

Donut Size

2

oz

Days per week

7

days

Donuts/batch

64

donuts/batch

Current Sales

1100

doz/day

Target

13,200

donuts/day

takt time

2.18

seconds/donut

Step 1: Batching

Step 2: Mixing

Step 3: Extruding

Step 4: Frying

Step 5: Glazing

Step 6:Customize

Setup time (mins)

1.5

Setup time (seconds)

90

Process time (mins/donut/extruder)

2

2.5

0.06

1.5

0.75

0.029

Process time (per batch)

1.19

1.5

0.75

1.867

Setup time + Process time (per batch)

2.69

Capacity (batches/day)

240.0

192.0

178.8

257.1

Capacity (donuts/day/machine)

15,360.00

12,288.00

16,457.14

Number of machines/cutters

1

2

3

1

Capacity (donuts/day)

15,360.00

24,576.00

11,440.55

16,457.14

Dozens

1,280.00

2,048.00

953.38

cycle time

1.88

1.17

2.52

1.75

Whole batches/day

240.0

192.0

178.0

257.0

Capacity (using whole batches)

15,360.00

24,576.00

11,392.00

16,448.00

cycle time (using whole batches)

1.88

1.17

2.53

1.75

Second option: Add cutters to the extruder. Johnson also considered adding an additional three cutters to the extruder. He knew this would increase the rate at which donuts could be cut and shaped, but he also knew that it would add to the cleaning and setup which had to be performed prior to each step and that it would cost him to purchase and install the new cutters...making this, again, not the ideal option - but a feasible one. In order to make an informed decision, he needs to know this: Working with whole batches only (no partial batches allowed), what is the maximum setup time in minutes, rounded to the nearest tenth of a minute, that could be allowed for each batch if he were to add an additional three cutters without changing the current batch size of eight pounds?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!