ALGEBRA 2 JANUARY 30, 2009 Chapter 3 Section 4 Part Deux!! Linear Programming

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? MIXED NUTS 12 cans per case You Pay…….$24 per case Sell at……..$3.30 per can $18 profit per case!! MIXED NUTS 12 cans per case You Pay…….$24 per case Sell at……..$3.30 per can $18 profit per case!! ROASTED PEANUTS 20 packages per case You Pay…….$15 per case Sell at……..$1.50 per can $15 profit per case!!v ROASTED PEANUTS 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………………… sq ft Carbon Dioxide Absorption…650 lbs/yd Spruce Trees Planting Cost……………………..$30 Area Required………………… sq ft Carbon Dioxide Absorption…650 lbs/yd Maple Trees Planting Cost……………………..$40 Area Required………………… sq ft Carbon Dioxide Absorption…350 lbs/yd Maple Trees Planting Cost……………………..$40 Area Required………………… sq ft Carbon Dioxide Absorption…350 lbs/yd