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Think of the logistics challenges Amazon UK is facing: they are sourcing from thousands of bookstores and through a few distributions centres they are delivering in millions of customers. Think now of the alternative setup that they just started implementing a few months ago where they have added another layer in this transportations network in-between the end customers and the distribution centres: that of collection points in local shops. solve all 4 parts (a) Give a generic formulation of a logistics cost minimisation LP problem for Amazon UK before the layer with the collection points was added, (b) gve a generic formulation of a logistics cost minimisation LP problem for Amazon UK with the collection points, (c) expand the latter so as to allow for transhipments in between the distributions centres and provide both a graphical network and an LP formulation, (d) Why did they decide to go for the introduction of collection points and under what conditions is this a sensible move?

(We are in the summer of 2021...) Dr. S. Shady manages the product innovation department of M&M Technology Innovations Ltd.. On 1/7/2021 Dr Shady has available funds of 1.000.000 and a 5-year product development horizon. M. Mathers Innovation Space Ltd. can offer the following patents for new products to Dr. Shady with promised returns from the development of prototypes after Patent Acquisition (PA) as follows: Product- > E M I N E 1 M1 R U L E 2 S Year 2021 PA PA PA PA PA 2022 30% PA PA 5% 2023 80% 30% PA 112% PA 35% 15% 2024 80 30% PA 112% 25% 2025 80 30% 112% PA 35% 2026 80% 105% 100% 140% 50% PA: is the exact tim ing/year of the Patent Acquisition (PA) for a new Product Development and a% is the return from the purchase, for e.g., if we pay 1000 on 1/7/2021 for the patent of Product E, we will get back 30% (=300) on 1/ /2022 and 80% (= 800) on 17/2023 form the payment for the prototype development of new product from a secured interested buyer. Think of the logistics challenges Amazon UK is facing they are sourcing from thousands of bookstores and through a few distributions centres they are delivering in millions of customers. Think now of the alternative setup that they just started implementing a few months ago where they have added another layer in this transportations network in-between the end customers and the distribution centres: that of collection points in local shops. (a) Give a generic formulation of a logistics cost minimisation LP problem for Amazon UK before the layer with the collection points was added, (b) give a generic formulation of a logistics cost minimisation LP problem for Amazon UK with the collection points, (c) expand the latter so as to allow for transhipments in between the distributions centres and provide both a graphical network and an LP formulation, (d) Why did they decide to go for the introduction of collection points and under what conditions is this a sensible move