Abstract:
A long-time leader in the cement manufacturing industry, Fauji Cement Company Limited,
headquartered in Rawalpindi, operates a cement plant in Fateh Jang, District Attock in the province
of Punjab. The company produces a total of seven cement brands with an annual total production
capacity of 3.6 million tons of cement.
With the addition of Pamir Cement to the lineup, Fauji Cement now aims to determine the optimal
production quantity of its top two selling cement brands i.e. Ordinary Portland Cement (OPC) and
Pamir Cement, to maximize its total annual profits. The resources required to produce these brands
of cement include Clinker, Gypsum, and Additive (Limestone). The composition of these resources
for OPC cement is at least 90% Clinker and more than 5% Additive and 5% Gypsum each. The
composition for Pamir Cement is 75% Clinker and no more than 20% Additive and 5% Gypsum
each. Environmental Protection Agency (EPA) restricts FCCL to emit no more than 10,200 tons of
CO2 per day for cement production. Total Carbon Emission per ton of Clinker = 0.921 Tons of
CO2. As Pamir cement required 75% of clinker so it releases less amount of CO2 as a result we can
produce these bags more in numbers to maximize overall profit of the company.
