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Kane Manufacturing Has a Division That Produces Two Models of Fireplace

question 14

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Kane Manufacturing has a division that produces two models of fireplace grates, model A and model B. To produce each model A grate requires 2 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 $2, and the profit for each model B grate is $1.50. 1,000 lb of cast iron and 20 labor-hours are available for the production of grates each day. Because of an excess inventory of model A grates, management has decided to limit the production of model A grates to no more than 200 grates per day. How many grates of each model should the division produce daily to maximize Kane's profits? ​
Use the method of corners to solve the problem. Find the range of values that the coefficient of x can assume without changing the optimal solution. Identify the binding and nonbinding constraints.


Definitions:

Country Club

An organization or venue providing recreational sports and socializing facilities to its members.

Followership

describes the role or behaviors of individuals who support and are guided by a leader, contributing to the achievement of group or organizational goals.

Ideal Follower

An individual who supports and executes the vision of their leader or organization with commitment, creativity, and critical thinking, often contributing significantly to the group's success.

Critical Communication Perspective

A view that analyzes how power, context, and ideology shape communication practices, often aiming to uncover and address inequalities.

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