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NO Graphing Calculators You may use scientific calculators

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All homework assignments 1.4 & 1.5 Quiz Old Test for Review Questions

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How to graph an inequality and a system of inequalities What does it mean to be a solution to an inequality or a system of inequalities Linear Programming: Objective Function, Constraints, Max/Min Solving 3 x 3 System of Equations Algebraically

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Linear Programming A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a large bookcase and 2 hours to make a small one. The profit on a large bookcase is $50, and the profit on a small bookcase is $20. The carpenter can spend 24 hours per week making bookcases and must make at least 2 of each size per week. How many of each size does he need to make each week to maximize his profit? Objective Function: Constraints: P = 50L + 20S

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Objective Function: Constraints: P = 50L + 20S ______ Large & _____ Small Max Profit $__________

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Danielle is making chocolate chip and oatmeal cookies to sell at the craft fair. A batch of chocolate chip cookies requires 2 eggs and 2 cups of flour. The oatmeal cookies require 3 cups of flour and 1 egg. Danielle has 12 cups of flour and 8 eggs on hand. She makes a profit of $2 on both kinds of cookies. Linear Programming How many batches of each kind of cookie should Danielle make in order to maximize profits? 3 chocolate chip, 2 oatmeal

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3 x 3 System (3, 0, 0)

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3 x 3 System No Solution

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Linear Programming Try Page 32 #10 & 11 3x3s Try Page 37 odds

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Questions on any Homework?

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