University of British Columbia

Sauder School of Business

COMM 399: Logistics and Procedures Management

Problem Set 1

1 . Answer:

(a) Inventory build-up diagram:

! " #$%& '(#)*$)$+'), *(& )

%#"

%! "

$#"

money! "

#"

! "

& '(! " & ')#" *'!! " *'$#" *'(! " *')#" $! '!! " dollar! '$#" $! '(! " $! ')#" $$'!! " $$'$#" $$'(! "

(b) The average range of customers in the system is 12. 95. Probably the easiest way to calculate this number through calculating the area under the graph and then by simply dividing by entire time. The location under the graph is a summation of four triangles or trapezoids which we obtain by drawing vertical lines at on the lookout for: 00, on the lookout for: 30 and 10: 31. The areas of each and every triangle/trapezoid is usually

8: 30-9: 00:

0. 5 В· 15/2 = 3. 75

9: 00-9: 30:

0. 5 В· (15 + 20)/2 sama dengan 8. seventy five

9: 30-10: 30:

1 ) 0 В· (20 & 15)/2 sama dengan 17. five

10: 30-11: 15:

zero. 75 В· 15/2 = 5. 625

Thus, the overall area can be 35. 625. Now, break down 35. 625 by installment payments on your 75 several hours and we п¬Ѓnd that typically there are 12. 95 clients in the system.

(c) During the 2 . 5 hours, the quantity of customers is 30 & 15 = 45. Thus, Throughput Price = Real Output Price =

forty five customers

2 . 75 hours

= sixteen. 36 customers/hour

Average Inventory

12. 95 customers

Typical Flow Period =

sama dengan

Throughput Price

16. thirty six customers/hour

= 0. 792 hour sama dengan 47. 5 mins

1

installment payments on your Solution:

(a) The resource requirements are as follows:

Resource

Cut

Barbequed cheddar

Veggies

Cream cheese

Wrap

Cheddar & veggie

3

twelve

5

2

Veggie simply

3

Cream cheese

3

5

a couple of

4

a couple of

Product mix

540

300

700

one hundred sixty

360

The bottleneck for each and every kind of kleines, rundes br?tchen is: Grilling for cheddar & vegetable, Veggie pertaining to the vegetable, and Cream cheese intended for the cream cheese.

The bottleneck for the product blend (30 cheddar & vegetable, 110 vegetable only, and 40 cream cheese) is Veggies, since shown above.

Note that the demand in this merchandise mix may not be fully satisfied – since Veggies needs 700 mins per day when we have only 600 minutes available. (b) If you will find 700 a few minutes available, in that case...

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