Kane Manufacturing has a division that produces two models offireplace grates, x units of model A and y units of model B. Toproduce each model A grate requires 3 lb of cast iron and 6 min oflabor. To produce each model B grate requires 4 lb of cast iron and3 min of labor. The profit for each model A grate is $2.00, and theprofit for each model B grate is $3.00. Also, 1000 lb of cast ironand 20 labor-hours are available for the production of fireplacegrates per day. Because of a backlog of orders for model A grates,Kane's manager had decided to produce at least 150 of these gratesa day. Operating under this additional constraint, how many gratesof each model should Kane produce to maximize profit?
