Please state what exactly the answer is in the format given and how you get it, thanks.

Problem 14-01 (Algorithmic) 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 1/3 ton of material 1 and 2/3 ton of material 3. A ton of solvent base is a mixture of 1/3 ton of material 1, 1/2 ton of material 2, and 1/6 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, 10 tons; material 2, 8 tons; material 3, 15 tons. Management wants to achieve the following Pi priority level goals: Goal 1: Produce at least 21 tons of fuel additive. Goal 2: Produce at least 18 tons of solvent base. Assume there are no other goals a. Is it possible for management to achieve both Pi level goals given the constraints on the amounts of each material available? Amount needed to Raw Material Achieve Both P1 Goals 2 3