Solve each problem (1 and 2) using The Method of Corners. Be sure to use a straight-edge when graphing. Write sentence answers. 1.) Bob's manufacturing has a division that produces two models of fireplace grates, model A and model B. To produce each model A grate requires 3 lbs of cast iron and 6 min of labor. To produce each model B grate requires 4 lbs of cast iron and 3 min of labor. The profit for each model A grate is $2 and the profit for each model B grate is $1.50. If 1000 lbs of cast iron and 1200 labor-minutes are available for the production of the grates per day, how many grates of each model should the division produce in order to help maximize profits? What is the maximum profit? 2.) Bob's mining company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $14000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each day. The Horseshoe Mine costs $16000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each day. Company management has set a target of at least 650 oz of gold and 18000 oz of silver. How many days should each mine be operated so that the target can be met at minimum cost? What is he minimum cost