Network flow

A company launched a new gadget C to produce globally for North America and Latin American markets.
The company uses just-in-time as a logistic strategy with no warehouse. Still, it has a quality control standard with the assistance of laboratories in the United Kingdom, Spain, and South Africa.
The company has some contractors in the Asia-Pacific that make two types of components A and B, to create product C ( to produce one container of product C used two containers of component A and three containers of component B ).
In the graph, the logistic circuit of factories(components A in blue arrow and components B) and ensemble centers (located in Singapur Dubai and Egypt) to produce gadget C (The flow of the production and distribution is shown with purple arrows). The number near to arrows shows the capacity to transport from one location to another location.
How is the production and distribution in the manufacturing supply chain to deliver the maximum quantity of gadgets producing the minimum of components?
  1. New York gest 20 gadgets, Japan produces 42 components B, and Australia produces 22 components A.

  2. São Paulo gest 9 gadgets, India produces 75 components B, and Hong Kong produces 50 components A.

  3. Sao Paulo gest 10 gadgets, India produces 74 components B, and Hong Kong produces 45 components A

  4. New York gest 18 gadgets, Japan produces 40 components B, and Australia produces 20 components A


Chose the right answer.
  1. III and IV

  2. II and IV

  3. I and II

  4. I

  5. None of the above.

Original idea by: Alexander Valle Rey

Comments

  1. Joao MeidanisJune 10, 2023 at 3:37 AM

    Interesting question, but very laborious. From my calculations, (I) is not compatible with maximizing delivery while minimizing production because Australia produces 21 A-components in any optimal scheme; (II) no good because Hong Kong will produce 45 A-components in any optimal scheme; (III) is compatible; but (IV) is also not compatible, since New York cannot get less than 20 items, Japan produces 42 B-components, and Australia 21 A-components in any optimal scheme. So, the answer is none of the above?

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