The Chris Beehner Company manufactures two lines of designer yard gates, called model A and model B. Every gate requires blending a certain amount of steel and zinc; the company has available a total of 25 comma 000 lb of steel and 6 comma 000 lb of zinc. Each model A gate requires a mixture of 125 lb of steel and 20 lb of zinc, and each yields a profit of $55. Each model B gate requires 100 lb of steel and 30 lb of zinc and can be sold for a profit of $70. Each model B gate requires 100lb of steel and 30lb of zinc and can be sold for a profit of $50. Find the optimal solution?