Question: Time per day 8 hours Batch Size 9.4 lbs Time per day 480 minutes Donut Size 2 oz Days per week 7 days Donuts/batch 75.2

Time per day

8

hours

Batch Size

9.4

lbs

Time per day

480

minutes

Donut Size

2

oz

Days per week

7

days

Donuts/batch

75.2

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)

0.70

1.5

0.75

2.193

Setup time + Process time (per batch)

2.20

Capacity (batches/day)

240.0

192.0

218.5

218.8

Capacity (donuts/day/machine)

18,048.00

14,438.40

16,457.14

Number of machines/cutters

1

2

6

1

Capacity (donuts/day)

18,048.00

28,876.80

16,434.94

16,457.14

Dozens

1,504.00

2,406.40

1,369.58

cycle time

1.60

1.00

1.75

1.75

Whole batches/day

240.0

192.0

218.0

218.0

Capacity (using whole batches)

18,048.00

28,876.80

16,393.60

16,393.60

cycle time (using whole batches)

1.60

1.00

1.76

1.76

First option: Increase the batch size. This option seemed pretty good because it didn't require an immediate purchase of any new equipment or hiring of any new employees. At face value, it seemed like the lowest-cost solution. That is until you start to consider the additional wear and tear on the mixing equipment that larger batch sizes would cause. Dewey had no way of knowing exactly how quickly the machinery would wear out if he increased the batch sizes, but he knew this was a drawback. Even though he'd like to avoid this option and extend the life of his mixers, Dewey wants to know exactly how large his batch size needs to be in order to meet the daily demand without changing either the number of cutting heads on the extruder or the setup time on the extruder. Working with whole batches only (no partial batches allowed), what batch size in pounds, rounded to the nearest tenth of a pound, is needed to meet his customer demand with out changing the number of cutting heads on the extruder or the setup time of the extruder?

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!