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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 2 Ib of cast iron and 6 min of labor. To produce each model B grate requires 5 lb of cast iron and 3 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. 1200 lb of cast iron and 1500 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? Maximize P = subject to the constraints cast iron labor model A y 2 0

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 2 Ib of cast iron and 6 min of labor. To produce each model B grate requires 5 lb of cast iron and 3 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. 1200 lb of cast iron and 1500 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? Maximize P = subject to the constraints cast iron labor model A y 2 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 2 Ib of cast iron and 6 min of labor. To produce each model B grate requires 5 lb of cast iron and 3 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. 1200 lb of cast iron and 1500 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? Maximize P = subject to the constraints cast iron labor model A y 2 0
Transcribed Image Text: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 2 Ib of cast iron and 6 min of labor. To produce each model B grate requires 5 lb of cast iron and 3 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. 1200 lb of cast iron and 1500 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? Maximize P = subject to the constraints cast iron labor model A y 2 0
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