Kane manufacturing has a division that produces two models of fireplace grates, x units of model a and y units of 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 $4.00. also, 1000 lb of cast iron and 20 labor-hours are available for the production of fireplace grates per day. because of a backlog of orders for model a grates, kane's manager had decided to produce at least 150 of these grates a day. operating under this additional constraint, how many grates of each model should kane produce to maximize profit? (x, what is the optimal profit? need ? read it 7. -12 points tanfin12 3.3.035. my notes ask your teacher a division of the winston furniture company manufactures dining tables and chairs. each table requires 40 board feet of wood and 3 labor hours. each chair requires 16 board feet of wood and 4 labor hours. the profit for each table is 545, and the profit for each chair is $35. in a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. how many tables and chairs should winston manufacture to maximize its profit? (letx represent the number of tables winton manufactures and let y represent the number of chairs they manufacture) what is the maximum profit? need ? read