A cement company blends clinker, fly ash and granulated blast furnace slag (gbfs) in two types of blended cements. The relative profit associated with per kg of clinker used in cement 1 and cement 2 are ` 1 and 80 paise respectively. Similarly the same for use of flyash are ` 0.3 and Re 0.5 respectively and those for gbfs are ` 0.4, and ` 0.4 respectively. The total available quantity of clinker, flyash, and gbfs per day are 120 tons, 40 tons, and 100 tons respectively. To satisfy the customer demand the company must produce 100 tons of each cement. The maximum proportions of fly ash in any cement is restricted to 20% and minimum clinker content in cement 1 is 60% and that in cement 2 is 40%. Formulate the LP Problem and solve.