i. Clearly define decision variables with their respective units ii. State the Objective Function and check the consistency of the units.  iii. State the functional and sign constraints and check the consistency of the respective units. A company manufactures and sells a fertilizer of general application: the company manufactures the fertilizer in three different plants and sends the final product to four warehouses located in different parts of the country. The three plants have costs of different production: plant 1 has a cost of $ 380 per ton, plant 2 has at a cost of $ 450 per ton and plant 3 has a cost of $ 300 per ton. The Sales prices of each warehouse also vary due to location, the price of sale of a ton of fertilizer in warehouse 1 is $ 620, in warehouse 2 is $ 630, Warehouse 3 is $ 640 and Warehouse 4 is $ 620. The requirements in tons of the 4 warehouses, the production capacity of each plant and costs of transport (in thousands of pesos per ton) are presented in the following table:

It seeks to maximize the company's total profits by satisfying the demand of the general application fertilizer.

en toneladas de los 4 almacenes, la capacidad de produccin de cada planta y los costos de transporte (en miles de pesos por tonelada) se presentan en la siguiente tabla: Almacn 1 Almacn Almacn 2 Almacn 4 Oferta (toneladas) 3 Planta 1 23 18 21 25 650 Planta 2 21 24 23 18 600 Planta 3 21 600 Demanda (toneladas) 300 450 500 600 Se busca maximizar las utilidades totales de la compaa satisfaciendo la demanda del fertilizante de aplicacin general. Linn fhrica que produce tres tipos de televisores. Actualmente la fbrica cuenta con 3 en toneladas de los 4 almacenes, la capacidad de produccin de cada planta y los costos de transporte (en miles de pesos por tonelada) se presentan en la siguiente tabla: Almacn 1 Almacn Almacn 2 Almacn 4 Oferta (toneladas) 3 Planta 1 23 18 21 25 650 Planta 2 21 24 23 18 600 Planta 3 21 600 Demanda (toneladas) 300 450 500 600 Se busca maximizar las utilidades totales de la compaa satisfaciendo la demanda del fertilizante de aplicacin general. Linn fhrica que produce tres tipos de televisores. Actualmente la fbrica cuenta con 3