A Corporation Has a Division That Produces Two Models of Fireplace

Essay

A corporation has a division that produces two models of fireplace grates, model A and model B. To produce each model A grate requires 3 lb of cast iron and 6 min of labor. To produce each model B grate requires 4 lb of cast iron and 3 min of labor. The profit for each model A grate is $3.00, and the profit for each model B grate is $2.50. If 1,000 lb of cast iron and 20 labor-hours are available for the production of fireplace grates per day, how many grates of each model should the division produce in order to help maximize the division's profits?
__________ model A, __________ model B
What is the optimal profit?
$__________