The RMC Corporation blends three raw materials to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of %5 ton of material 1 and ton of material 3. A ton of solvent base is a mixture of ton of material 1,5 ton of material 2, and %10 ton of material 3. RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has the following quantities of each raw material: material 1, 20 tons; material 2, 5 tons; material 3, 21 tons. Manage- ment wants to achieve the following P priority level goals: Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base.

The RMC Corporation blends three raw materials to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and 3/5 ton of material 3. A ton of solvent base is a mixture of 1/2 ton of material 1,1/5 ton of material 2 . and 3/10 ton of material 3. RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has the following quantities of each raw material: material 1,20 tons; material 2.5 tons; material 3,21 tons. Management wants to achieve the following P1 priority level goals: Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base