Group 1 - 9:30 Class
Group
Members:
Tyler
Larrivee, Blayze Markoya, Fernando Piedra, Joshua Sanford, Shawn Smith
Meat x
→ 2x 1 COH 3 VIT
3 PRO
Potatoes y
→ .75y 3 COH 4 VIT
1 PRO
Diet 8 COH
19 VIT 7 PRO
|
|
Meat |
Potatoes |
Required |
|
CHO |
1 |
3 |
8 |
|
VIT |
3 |
4 |
19 |
|
PRO |
3 |
1 |
7 |
|
COST |
2 |
.75 |
- |
X = # of servings of meat per day
Y = # of servings of potatoes per day
CHO:
x + 3y ≥ 8
VIT:
3x + 4y ≥ 19
PRO:
3x + y ≥ 7
x
≥ 0 , y ≥ 0
COST:
= 2x + .75y
|
|
Vertex (0,7) (9/5, 17/5) (5, 1) (8,0) | Cost
= 2x + .75y (2 ∙ 0) + (.75 ∙ 7) =
5.25 (2 ∙ 9/5) + (.75 ∙ 17/5) = 6.15 (2 ∙ 5) + (.75 ∙ 1) =
10.75 (2 ∙ 8) + (.75 ∙ 0) =
16 |
(Referring to Graph 1)
A : y = -3/4x + 19/4
y = -3x + 7
B : y = -3/4x + 19/4
y = -1/3x + 8/3
A : -3/4x + 19/4 = -3x
+ 7 , x = 1.8
A : 1.8 , 3.4
B : -3/4x + 19/4 = -1/3x
+ 8/3 , x = 5
A : 5 , 1
