A solid waste management company was engaged to manage the solid waste generated in 3 cities (X,Y and 2) using the 2 existing Landfill facilities (A and B). The two facilities can only handle 30 tons/day and 25 tons/day of solid waste respectively. Facility A has no gas recovery system and its operational cost is $6000/year while Facility B has gas recovery system with operational of $8000/year. 10 tons of Methane gas (CH4) recovered and converted to other sources of energy from the solid waste deposited at facility B generating a revenue of $ 3 /tons daily. The cost of transporting waste per ton between the 3 cities and the 2 Facilities are given below. City Y A B City X $1 $3 $3 $2 City Z $2 $2 This company is contracted to manage the solid waste for the next 10 years. (1) Please formulate a linear programming model for the above problem to maximize the revenue generated in the whole system. (2) Solve this with LINGO software or any other software. A solid waste management company was engaged to manage the solid waste generated in 3 cities (X,Y and 2) using the 2 existing Landfill facilities (A and B). The two facilities can only handle 30 tons/day and 25 tons/day of solid waste respectively. Facility A has no gas recovery system and its operational cost is $6000/year while Facility B has gas recovery system with operational of $8000/year. 10 tons of Methane gas (CH4) recovered and converted to other sources of energy from the solid waste deposited at facility B generating a revenue of $ 3 /tons daily. The cost of transporting waste per ton between the 3 cities and the 2 Facilities are given below. City Y A B City X $1 $3 $3 $2 City Z $2 $2 This company is contracted to manage the solid waste for the next 10 years. (1) Please formulate a linear programming model for the above problem to maximize the revenue generated in the whole system. (2) Solve this with LINGO software or any other software