# NO Graphing Calculators

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```					               NO Graphing
Calculators

You may use
scientific calculators
•All homework assignments
•1.4 & 1.5 Quiz
•Old Test for Review Questions
•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
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: P = 50L + 20S

Constraints:   6L  2S  24
L2
S 2
Objective Function: P = 50L + 20S

Constraints:   6L  2S  24
L2
S 2

______ Large & _____ Small

Max Profit \$__________
Linear Programming
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.

How many batches of each kind of             2 x  y  8
cookie should Danielle make in order         2 x  3 y  12

to maximize profits?                         
2x  2 y  P          x  0
y  0


3 chocolate chip, 2 oatmeal
3 x 3 System
 3x  6 y  6 z  9

 2x  5 y  4z  6
 x  16 y  14 z  3

3 x 3 System
 x  y  2 z  2

2 x  3 y  z  1
 2 x  y  3 z  2

Linear Programming
Try Page 32 #10 & 11

3x3s
Try Page 37 odds
Questions on any Homework?

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