Linear Programming Exercises 1. A set of constraints and an objective function are given in each of the following. For each: (i) Graph the constraints and find the points of intersection of the boundaries, and (ii) Use the points of intersection to find the maximum and minimum value of the objective function. (a) P = 2x + 4y for ctys5 I + 3y 20 120 y20 I 8 2. A toymaker makes wooden toy cars and trucks. He wants to make at least two cars and at least two trucks, but no more than five trucks. He can make a total of no more than 15 toys in his spare time. If he makes a profit of $8 per car and $10 per truck, how many of each type should he make to maximize his profit