1. In order to develop strategies to control the pollution from the coal mining and transportation process, we conduct the following analysis to determine how coal would be mined, processed, and distributed if the market seeks to minimize total pollution cost. We would like to know how much coal from supplies si in different mining regions i = 1, 2, ..., 24 will be extracted, how much will then be processed into various deliverable coal types m= 1, 2, ..., 8, and how much of each deliverable product will be sent to meet consumer demands dm., in regions j = 1, 2, ..., 113. Demands are expressed in Btu, with each ton of raw coal mined at for processing into type m yielding aim Btu. Including the economic burden of pollution controls and transportation, the cost per ton of raw coal mined at i for processing into type m and use at j can be estimated at Cim.j. Formulate an LP model to determine how coal would be mined, processed, and distributed if the market seeks to minimize total cost. Use the following decision variable (i=1, 2, ..., 24; m=1, 2, ..., 8; j = 1, 2, ..., 113) Ximo.i= tons of coal mined at i for processing into m and use atj You only need formulate the LP model using the provided notations. You do NOT need estimate data and solve the model