Consider a model in which two products, x and y, are produced. There are 30 pounds of material and 60 hours of labor available. It requires 9 pounds of material and 12 hours of labor to produce a unit of x, and 5 pounds of material and 15 hours of labor to produce a unit of y. The profit for x is $300 per unit, and the profit for y is $250 per unit. If we want to know how many units of x and y to produce to maximize profit, the model is Maximize Z = 300x + 250ySubject to12x + 15y = 609x + 5y = 30Determine the solution to this problem and explain your answer.