Discuss the below in detail:
Q: A mining operation has identified an area where the ore is rich enough to excavate. The excavation proceeds in distinct blocks from the surface downward. The problem is sketched in its two-dimensional form with numbered blocks in the following figure.
Because of the angle of slip, block 5 cannot be mined unless both blocks 1 and 2 are mined. Similar relations hold for the blocks in the arrangement. By use of bore holes, the mining company has estimated the ore content in each of the blocks. From this information, profit or loss can be associated with each block. The profit or loss is the value of the refined ore less the cost of removal of that block and the cost of refining it (beneficiation). The profit or loss for each block, i, is shown using P_i. Formulate an IP which will help the mining company maximize its profits from this mining operation.