Using optimization techniques, picture an online store, where the shipper has to

Question

Using optimization techniques, picture an online store, where the shipper has to determine the optimal way to get the product delivered to the customer. The delivery path that is chosen is the path that minimizes shipping costs while simultaneously satisfying these constraints: 1The product must arrive by a promised date.2 The shipper must deliver a finite set of items.and 3 The product must originate from one of several warehouse hubs across the country.

Can there be multiple solutions and explain why. Is there a guarantee that a solution always exists?

Explanation / Answer

Yes , there can be multplie soltutions.

Suppose the cost to deliver a product from site A to site C takes 10 dollars

and cost to deliver a product from

site A to site B takes 5 dollars

site B to site C takes % dollars

so if the solver finds 10 dollars to be the minimum cost of shippings then both the routes are possible

Yes , as long as the numerical constraints are valid and the logical business constraints are applied effeciently , a solution exists . However , there might be cases when a constraint is not valid for a solution , in those cases the solution might not exists.

It is always better to provide some data in the question , so that we can assist effectively,

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