1. 1 DETAILS MY NOTES TANAPMATH7ACC 6.2.003. ASK YOUR TEACHER PRACTICE ANOTHER Help with Symbolic Notation 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 lb of cast iron and 6 min of labor. To produce each model B grate requires 5 lb of cast iron and 4 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. If 1,400 lb of cast iron and 900 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day to maximize Kane's profits P in dollars? Maximize P = subject to cast iron labor y≥0 Need Help? Watch It 4

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 44PS
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1. 1
DETAILS
MY NOTES
TANAPMATH7ACC 6.2.003.
ASK YOUR TEACHER
PRACTICE ANOTHER
Help with Symbolic Notation
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 lb of cast
iron and 6 min of labor. To produce each model B grate requires 5 lb of cast iron and 4 min of labor. The profit for each model A grate is $2.50, and the profit for each model
B grate is $2.00.
If 1,400 lb of cast iron and 900 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day to
maximize Kane's profits P in dollars?
Maximize
P =
subject to
cast iron
labor
y≥0
Need Help?
Watch It
4
Transcribed Image Text:1. 1 DETAILS MY NOTES TANAPMATH7ACC 6.2.003. ASK YOUR TEACHER PRACTICE ANOTHER Help with Symbolic Notation 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 lb of cast iron and 6 min of labor. To produce each model B grate requires 5 lb of cast iron and 4 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. If 1,400 lb of cast iron and 900 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day to maximize Kane's profits P in dollars? Maximize P = subject to cast iron labor y≥0 Need Help? Watch It 4
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