Answer both correct.

QUESTION 12 Consider the following linear programming problem: Max + st. 2A + 4B $ 12 6A + 4B $24 ABEO The point (3.0.3.0) is: a. is one of the extreme points. ob. the optimal solution. O c. unbounded. d. infeasible. QUESTION 13 A firm produces a variety of chemical products. Three raw materials are mixed together to produce two products: a fuel ada tive () and a solvent base (s). Each ton of fuel additive is a mixture of 0.4 ton of material 1 and 0.6 of material 3. A ton of solvent base is a mixture of 0.5 ton of material 1.0.2 ton of material 2. and 0.3 ton of material 3. The profit contribution is $40 per ton of fuel additive and $30 per ton of solvent base produced. Availability of the three raw materials are 20. 5. and 21 tons of materials 1. 2. and 3, respectively. The firm has produced the optimal combination of the two chemicals with a total profit of $1.600. If the optimal value of the fuel additive is 25 tons, what is the value of the solvent base? b. 20 c. 600 o none of these