A Local Florist Is Making Two Types of Floral Arrangements for Thanksgiving: Regular and Special

Advanced Algebra Business Consultant Project

A local florist is making two types of floral arrangements for Prom: regular and special. Each regular arrangement requires 3 mums, 3 daisies, and 2 roses, and each special arrangement requires 4 mums, 2 daisies, and 4 roses. The florist has set aside 60 mums, 54 daisies, and 52 roses for the two types of arrangements.

Mums Daisies Roses

Outcome #1

Let ‘x’ represent the number of regular arrangements, and let ‘y’ represent the number of special arrangements. Write a system of three equations to represent the florist’s situation.

Outcome #2

The florist will make a profit of $2 on each regular arrangement and $3 on each special arrangement.

1. Write an objective function for the profit.

2. Create a system of inequalities to represent the constraints. Graph the feasible region.

3. Identify the vertices of the feasible region.

4. How many of each type of arrangement should the florist make in order to maximize the

profit? What is the maximum profit?

5. If the maximum profit is achieved, will there be any flowers left over? If so, how many

of each?

Task:

•Present all your findings on a poster.

•Make sure all work is legible and all questions are represented.

•Make your graphs as accurate as possible and use as much color as possible.

•This poster should be presentable to “your boss” in an attempt at getting a promotion.

GRADING

25pts.---accuracy of calculations

15pts.---accuracy of graphs

10pts.---presentation (color, pictures, format, size, neatness, etc.)

5pts. E.C.---make a presentation to the class

~BE CREATIVE~