A manufacturing company has 8 factories from which it needs to supply 1000 customers. To make six different products, the company uses four types machines and 3 types of raw materials. The company needs a monthly production distribution plan that will minimize the total production and distribution cost of their products. They want to determine the amount of each type of product to be made at each factory on each type of machine and the amount of each product to be shipped from each factory to each customer. The relevant information are symbolically expressed below: Djk is the number of units of product k demanded by customer j. sklm is the number of units of raw material m needed to produce a unit of product k on machine type l. Sim is the number of units of raw material m available at factory i. xkl is the number of capacity units of machine type l that will produce one unit of product k. Xil the number of capacity units of machine type l available at factory i. Pikl is the production cost for each unit of product k on machine type l at factory i. Tijk is the transportation cost for each product k to be shipped from factory i to customer j. Formulate a linear program for this problem.