Two grade of coal $(A, B)$ are mixed to get a coal $(C)$ for blast furnace. The composition of coals and cost of coals are given in the table below

Table 2.3

Composition and cost of coal

Coal	Composition (%) and cost (per ton) of coal
	Carbon	Sulphur	Ash	Cost per ton
A	92	1	7	Rs. 2000/-
B	81	2	17	Rs. 1500/-
C	$\geq 88$	$\leq 1.5$	$\leq 10$

Develop the optimization problem to determine the amounts of $A$ and $B$ to be mixed to produce $C$ at a minimum cost.