Check Your Work Bruno Fruscalzo decided to setup a small production facility in
ID: 385661 • Letter: C
Question
Check Your Work Bruno Fruscalzo decided to setup a small production facility in Sydney to sell to the local restaurants who want to offer dessert menu. To start simple, he would offer only 3 flavors of gelato: fragola with hazelnut). After (strawberry), chocolato (chocolate), and bacio (chocolate a short time he determined his demand and setup times, as shown in the table below. Fragola Chocolato Bacio Demand 10 15 (kg/hours) Setup time 45 20 15 (minutes) Bruno first produces a batch of fragola, then a batch of chocolato, then a batch of bacio and then he repeats that sequence. For example, after producing bacio and before producing fragola, he needs 45 minutes to setup the ice cream machine, but he needs 15 minutes to switch from chocolato to bacio. When running, his ice cream machine produces at the rate of 48 kgs per hour nomatter which flavor it is producing (and of course it can produce only one flavor at a time). (Round your answer to 2 decimal places.) Suppose they operate with a production cycle of 120 kgs (20 kg of fragola, 40 kgs of chocolato and 31.30 kgs per 60 kgs of bacio). What is the capacity of the gelato making process (in kgs per hr)? (Round your answer to 2 decimal places.) Suppose they operate with a production cycle of 120 kgs 20 kg of fragola 40 kgs of chocolato and 6522 % 60 kgs of bacio). What is the utilization of the gelato making process? (Round your answer to 2 decimal places.) Suppose they operate with a production cycle of 120 kgs (20 kg of fragola, 40 kgs of chocolato and 1.30 03 kas 60 kgs of bacio). What is the average inventory of chocolato? (Round your answer to 2 decimal places.) Suppose Bruno wants to minimize the amount of each flavor produced at one time while still satisfying the demand for each of the flavors. (He can choose a different quantity for each flavor.) If 0240 d. we define a batch to be the quantity produced in a single run of each flavor, how many kgs should he produce in each batch? Round your answer to 2 decimal places)Explanation / Answer
Production cycle: 120 kgs
Combination given
20 kg of fragola , 40 kg of chocolato & 60 kg of bacio
Rated capacity: 48 kgs per hour
Setup tome for Fragola: 45 Minutes
Time taken to produce 20 kg Fragola
Quantity to be produced: 20 kg
Production rate : 48Kgs per hour
Time required:Production quantity / Production rate
= 20/48 = 0.42 Hrs. or 25 Minutes
Setup time for chocolato : 20 Minutes
Time taken to produce 40 kg Chocolato
Quantity to be produced: 40 Kg
Production rate: 48Kgs per hour
Time required:Production quantity / Production rate
= 40/48 = 0.83 Hrs. or 50 Minutes
Setup time for Bacio : 15 Minutes
Time taken to produce 60 kg Bacio
Quantity to be produced: 60 Kg
Production rate: 48Kgs per hour
Time required:Production quantity / Production rate
= 60/48 = 1.25 Hrs. or 75 Minutes
Total time take taken to produce 120 Kgs of ice cream = Setup time for Fragola + Time taken to produce 20 Kg Fragola + Setup time for Chocolato + Time taken to produce 40 Kg Chocolato + Time taken to produce 60 Kg Bacio + Setup time for Bacio
= 45 Minutes+25 Minutes +20 Minutes+50 Minutes+15 Minutes+75 Minutes
=230 Minutes/3.83 Hrs.
a.Capacity of gelato making: Total production /Time taken for production
: 120 Kgs/3.83 Hrs
= 31.30 Kg/hr
Answer: 31.30 Kg/Hrs.
b.Utilization of gelato making process:
Current capacity: 31.30 Kg/Hr
Rated capacity: 48 Kg/Hr
Utilization% = Current capacity /Rated capacity
= 31.30 /48
= 65.21%
Answer: 65.21%
c.With same operating cycle ,average inventory of choclato
Let us consider one complete cycle:
In one complete cycle as shown in part a answer , a complete cycle of 120 kgs will take 3.83 Hours
In 3.83 Hours cycle/120 Kg cycle, production of choclato is 40 Kgs
Even if plan operates 24 hours, it would be able to 6 full cycles which will produce 6x40kgs of choclato. Total of 240 Kgs in a day or 10 Kgs/hour
Considering demand as given in question which is also 10 Kgs/hrs. there would be 0 inventory for choclato.