Chapter 7: Lesson 7.6 Linear Programming Graph the region determined by the constraints and then find the minimum and maximum values of the objective function. Objective Function: Constraints

#37 A merchant plans to sell 2 models of MP3 players at prices of $225 and $250. The $225 model yields a profit of $30 per unit and the $250 model yields a profit of $31 per unit. The merchant estimates that the total monthly demand will not exceed 275 units. The merchant does not want to invest more than $63,000 in inventory for these products. What is the optimal inventory level for each model? What is the optimal profit?

#40 A humanitarian agency can use 2 models of vehicles for refugee rescue mission. Each model A vehicle costs $1000 and each model B vehicle costs $1500. Mission strategies and objectives indicate the following constraints. The agency must use at least 20 vehicles. A model A vehicle can hold 45 boxes and model B vehicles can hold 30 boxes of supplies. At least 690 boxes of supplies must be delivered to the refugee camp. A model A vehicle can hold 20 refugees and a model B vehicle can hold 32 refugees. The agency must rescue at least 520 refugees. What is the optimal number of vehicles of each model that should be used? What is the optimal cost?