A manufacturing plant manufactures two versions of the same product. The standard version (X1) generates $300 profit per unit and the premium (X2) generates $400 profit per unit. The manufacturing plant works for only 40 hours per week for assembly. The standard version requires 200 minutes, while the premium version requires 250 minutes of assembly work to produce a unit. These products also require a packaging operation. There are only 25 hours a week available for the packaging. The standard unit requires 20 minutes and premium requires 30 minutes to package 1 unit each. Formulate the above problem as a linear programming problem where the objective of the plant is to maximize the total profit.