Figure $1$: Shipment Cost Calculation Process

Figure $2$: Example of the Shipment Cost To obtain shipment schedule,

Construct the mathematical model,

Create your own shipment cost values by using Python code given in jupyter notebook,

Code your mathematical model with parameters,

Solve the model $($The model will be coded by using python programming language and

then the model will be solved via open solver CBC$).$

Then, create your technical report to present management unit.

Code your mathematical model by using python programming language with Jupyter interface

$(30p).$

a$)(10$p$)$ What is your mathematical model?

b$)(3$p$)$ What is value of the objective function?

c$)(3$p$)$ What is the value of decision variables? According to this values, evaluate the supply

chain and flow in this supply chain?

d$)(3$p$)$ If we change the capacity of warehouse Quarterage from $10000$ to $7500,$ and the

demand of Ceres from $4200$ to $1700,$ how do the objective value and the values of the

decision variables change?

e$)(4$p$)$ If we change the shipment cost from warehouse Tonoz to distribution center Atlas as

$10$ and Azure to Minerva as $5,$ how the objective function is affected. Give new objective

value and number of shipments, and then explain your answer with few sentences.

f$)(7$p$)$ If we change the capacity of the warehouse Middle Yard from $7000$ to $5000,$ what

should we expect? Can we obtain optimal solution? Please explain your conclusion clearly.

If it is necessary make some arrangement and give the results with explanations.YTU Manufacturing Company produces book and sends these products different areas. It

has four different warehouses, which are called Tonoz, White Kiosk, Quarterage, and Middle

Yard. Each Warehouse has capacity and these capacities are $3000,5000,10000,$ and $7000$ books,

respectively. The company sends its product from these warehouses either to distribution centres

or to stores. This means that, in this transportation system, direct shipment from warehouses

to stores is allowed. The number of distribution centres to which the books are sent is three

and their names are Atlas, Nebulae and Azure respectively.The last chain in the supply chain,

on the other hand, is the stores. Here, there are five different stores which are located on the

different sides of the city. Each store has a book demand. The required information about the

stores is given in Table $4.$

Table $4$: The Stores and Their Capacities

The company wants to send the books directly from its own warehouse or through distribution

centres. While meeting the demands, the aim is to ensure that this distribution is made with

minimum cost. However, shipping costs are defined according to the identity of the Engineer

who made the calculation. For this reason, the Engineer should calculate the relevant cost

values before shipping. For this, cost values should be generated by entering the information of

the Engineer in the field whose code is displayed on the screen and indicated in yellow in the

code given on the Jupyter Notebook page Figure $1.$ Note that, the information of the Engineer

includes the student ID of the student who will do the assignment. If there are characters in your

Student ID such as C$221506050,$ you must remove the letters and use only numbers as $21506050.$

As a result of the random number generation process, the Engineer will be able to obtain cost

values according to her$/$his own number. The resulting output should be in the following format

given in Figure $2.$ However, we would like to remind you again that since the numbers are

generated randomly, the values in the table will be different and the results obtained will also

be different. Moreover, the following values given in Figure $2$ is not used in your

assignment calculation.