The Azetos company needs to make plans for the energy needs of a new tower which utilizes energy for: ) electricity, li) water heating and ii) space heating. The daily energy requirements are: Electricity Water heating Space heating 30 units 20 units 50 units There are powered by j) electricity, ii) natural gas and ii) a solar heating unit. The solar heater can supply up to 50 units while there is no limit to the electricity and natural gas availability Electricity needs can only be met through electricity supply (at a cost of $20 per unit). Both other energy needs (water heating and space heating) can be met by any combination of the three sources. The unit costs are: Electricity $100 $90 Natural gas Solar heater Water heating $80 $55 Space heating $70 $65 Azetos aims to meet the energy needs at minimal overall costs. 1. Recommend a linear program that solves Azetos' problem 2. Solve the linear program using AMPL. (Show screenshot)