Formulate but do not solve the following exercise as a linear programming problem.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 requires 3 lb of cast iron and 8 min of labor. To produce each model B grate requires 5 lb of cast iron and 5 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. 1400 lb of cast iron and 900 min of labor are available for the production of grates per day.Because of a backlog of orders on model A grates, the manager of Kane Manufacturing has 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 P in dollars?
Formulate but do not solve the following exercise as a linear programming problem.
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 requires 3 lb of cast iron and 8 min of labor. To produce each model B grate requires 5 lb of cast iron and 5 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. 1400 lb of cast iron and 900 min of labor are available for the production of grates per day.
Because of a backlog of orders on model A grates, the manager of Kane Manufacturing has 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 P in dollars?
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