Math Report

The community box maker unit project was about trying to find the best design that works for both companys. my group only had 4 designs to compare because of lack of attendance for some .

1. UPS 165 ; w=h+2
2.FedEx Express 130 ; w=h+2

Danielle Lund designs were
1. Fedex Express 130 ; w=h
2. UPS 165 ; w=h

To complete my charts i had to generalize the length , girth , width , height and volume .
Fedex express my design was w=h+2 therefore my width was x+2 ; my girth was 4x+4; my Length was (130 -4x) my volume was (126-4x)(x+2)(x) Next i found the maximum x=13.4397
y=11927.8
For my UPS chart my design was w=h+2 . my width was x+2 ; my girth was 4x+2 ; my length was ( 165 -(4x+4) ; my volume was (165-4x+4))(x+2)(x).
the maximum was x=20.682 , y=20299.29
To make sure my volume expression was correct i typed it into the " y=" part on the calculater
and then pressed 2nd , GRAPH , a table came up then i checked to make sure my voulumes were correct .

On Danielle's chart she used Fedex express her design was w=h . she found the width which was x ; her length was (130-4x) ; her girth was 4x ; the volume came out to be (130-4x)(x)(x).
i found the maximum x= 21.666 , y=20342.593
She also used UPS her design was w=h. he found the width which was x ; her length was (165-4x); her girth was 4x ; the volume came out to be (165-4x)(x)(x) . the maximum was x= 27.5
y=41593.75 .

After finding all of these calculations i concluded that as the number you use gets smaller the max & min get increases .

Honestly , I feel that this project would have been easier if you put us in better groups .
I was confused because everybody was on different parts of the project. I wasn't behind. But i got it done , even though it was EXHAUSTING & VERY STRESSFUL .