Q. The Surest Concrete Organization produces cement in a continuous process. Two ingredients in the cement are sand, which surest purchases for $6 per ton also gravel, which prices $8 per ton. The other ingredients are lumped together also referred to as "Other". The price of the other ingredients is $5 per ton. No more than 40 percent of the cement can be sand also at least 30 percent of the cement must be gravel. The maximum amount of gravel available is 100 tons. The maximum amount available of the "Other" ingredients is 125 tons. The cement sells for $60 per ton.

The organization needs to maximize its profit.

a) Formulate the linear programming problem to maximize the profit.