Chapter 3 Section 4
Part Deux!!
Linear Programming
ALGEBRA 2
JANUARY 30, 2009
Warm-Ups
 Graph the following system of constraints, name the
vertices, and find the values of x and y that maximize
the objective function P = 3x + 2y.
Linear Programming Part Deux!!
 Suppose you are selling cases of mixed nuts and
roasted peanuts. You can order no more than 500
cans and packages and spend no more than $600.
How can you maximize your profit? How much is the
maximum profit?
ROASTED PEANUTS
MIXED NUTS
12 cans per case
You Pay…….$24 per case
Sell at……..$3.30 per can
$18 profit per case!!
20 packages per case
You Pay…….$15 per case
Sell at……..$1.50 per can
$15 profit per case!!v
Homework #16
Pg 143 #10, 11, 20, 24, 25
**We’ll do #11 as a class!
Pg 143 #11
 Trees in urban areas help keep air fresh by absorbing
carbon dioxide. A city has $2100 to spend on planting
spruce and maple trees. The land available for planting is
45,000 square feet. How many of each tree should the city
plant to maximize the carbon dioxide absorption?
Spruce Trees
Planting Cost……………………..$30
Area Required…………………...600 sq ft
Carbon Dioxide Absorption…650 lbs/yd
Maple Trees
Planting Cost……………………..$40
Area Required…………………...900 sq ft
Carbon Dioxide Absorption…350 lbs/yd