Bruno Fruscalz o decided to setup a small production facility in Sydney to sell

Question

Bruno Fruscalz o decided to setup a small production facility in Sydney to sell to the local restaurants who want to offer gelato on their dessert menu. To start simple, he would offer only 3 flavors of gelato: fragola (strawberry), chocolato (chocolate), and bacio (chocolate with hazelnut). After a short time he determined his demand and setup times, as shown in the table below. Fragola Chocolato Bacio Demand (kg/hours)51015 45 Setup time (minutes) 20 15 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 no matter 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 60 kgs of bacio). What is the capacity of the gelato making process (in kgs per hr)? kgs per hour a. (Round your answer to 2 decimal places.) h Suppose they operate with a production cycle of 120 kgs (20 kg of fragola, 40 kgs of chocolato and 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 60 kgs of bacio). What is the average inventory of chocolato? c. kgs (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 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? d. kgs Round your answer to 2 decimal places.) e. Given your answer to part (d) how many kgs of fragola should he make with each batch?

Explanation / Answer

B.

from the above

C.

D.

As the min required is 30 Kg.

So the effective production rate should be 30 Kg/ hr

Now Utilization = 30/48 = 62.50%

As set up time for all three combined = 1.33 hrs

100-62. 5 = 37.5 % = 1.33 hrs

So production time = 1.33/62.5 = 2.13 hr

Hence 2.13 hr *48 kg/ hr = 102.40 kg Ans

E.

Fragola = 5 kg out of 30 Kg so share = 5/30 = 1/6

Hence Fragola = 102.4/6 = 17.067 = 17.07 kgs Ans

A Fragola Chocolato Bacio 120 Kgs total 20 40 60 Total produce 120 Kg A Rate = 48/hr 0.416667 0.833333 1.25 Production time 2.5 hr B Set up time 0.75 0.333333 0.25 Total set up time 1.333333 hr C Total time 3.833333 hr D So effective rate (A/D 31.30435 Kg per hour Ans 31.30

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