Instructions: Model the following problem(s) then code it/them using google colab and submit your code by the end of the lab session. You need to submit your linear program along with your code, failing to do so will result in receiving zero points for the assignment 1 Problem Statement A computer mamfacturer plans to enter new markets in three African Countries Senegal, Ghana, and Ethiopia. The company has two manufacturing facilities in China and Vietnam that can be used to supply to the new markets. Because of logistics issues and travel routes, computers will be shipped to two distribution centers in Egypt and the UAE and then shipped to the three countries. The transportation cost per computer in dollars from the manufacturing facilities to the distribution centers and from the distribution centers to the different countries, the supply of the manufacturing facilities, and the demand of the different markets are summarized in the following tables: To Distribution Center (cost, in $) From Facility 3.Egypt 4.UAE Supply (thousands of computers) 1. China 24 31 100 2. Vietnam 30 50 25 From Distribution Center 3.Egypt 4.UAE Demand (in thousands of computers) To Country (cost, in $) 5.Senegal 6.Ghana 7.Ethiopia 12 9 12 10 12 10 50 30 70 Determine the optimal shipment patterns from the manufacturing facilities to the distribution centers, and from the distribution centers to the three different countries that will minimize the transportation cost