Express Movers Inc. $($EMI$)$ produces medium and large moving boxes. Each medium moving box requires $9$ square feet of cardboard, while each large moving box requires $12$ square feet of cardboard. Cardboard is limited to $200,000$ square feet daily. Each moving box must pass through two departments during the production process. The departments are cutting and assembly departments. In the cutting department, each medium box requires $0\mathrm{.}01$ labor hour and each large box requires $0\mathrm{.}02$ labor hours. In the assembly department, each medium box requires $0\mathrm{.}04$ labor hour and each large box requires $0\mathrm{.}05$ labor hours. Presently, cutting department has a maximum of $240$ labor hours daily, and assembly department has a maximum of $885$ labor hours daily that can be assigned to the production of the two types of boxes. Due to warehouse limitations$,$ no more than $1000$ large boxes can be made each day. Also, due to customer demand, at least $600$ medium boxes must be produced. Medium boxes yield a profit of $$5$ each, and large ones yield $$8$ profit each. Formulate this problem as a linear programming $($LP$)$ model, to determine the number of each type of moving box EMI should produce daily, that will maximize profit for the company. $($Only LP model formulation is asked for, following the three steps in the slides of the examples shown in the attached document$).$