Formulate an LP to minimize the expediting cost such that the project finishes in 90 days.(b) Suppose that instead of meeting the deadline exactly, there is a penalty of$290 for eachday the project extends beyond 90 days. In addition, there is a reward of$250 for everyday the project finishes under 90 days. Write two (or one) linear programming problemsto determine by how much to expedite the duration of each activity in order to minimizethe net cost.