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 $4.00, 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

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anthougo anthougo · Answer 1 · 2022-03-24T11:58:53+01:00

Therefore, to maximize profit under this additional constraint, the Kane Manufacturing Company should produce:

Model A Model B

Units of products 150 100

A constraint is a factor that hinders production.

A constraint can stop a company from producing the maximum units of each product model.

Constraints can emanate from the availability and quantity of the throughput, operational expense, and inventory.

Model A Model B Total Resources

Cast iron required 3 lb 4 lb 1,000 lb

Direct labor 6 min 3 min 20 labor-hours (1,200 min)

Profit per model $4.00 $4.000

Constraint:

Production of 150 of Model A, which consumes 900 minutes

This leaves 300 minutes for Model B.

300 minutes can produce 100 units of Model B (300/3).

Learn more about decision-making under constraints at https://brainly.com/question/27033825