A Corporation Has a Division That Produces Two Models of Fireplace

question 133

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?
$__________

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Definitions:

Battle Of Monongahela

A battle in 1755 during the French and Indian War where British forces were defeated by French and Native American forces near the Monongahela River.

French And Indian War

A conflict between France and Britain from 1754 to 1763 in North America, part of a larger series of conflicts known as the Seven Years' War.

German Immigrants

People from Germany who moved to another country, historically significant in the United States for their contributions to its culture, economy, and population.