1. Allie Benzel
Divian Boland
Ethan Giles
Parker Abare

2. 
Sinkin’ Boat Company builds two styles of
fiberglass boats, the Guppy and the
Stickleback. Each stage in the manufacturing
process require different numbers of manhours.

3. Boat
Fiberglass
Casting
Painting
Assembly
Guppy (x)
24
4
60
Stickleback (y)
9
12
40

4. 1.
2.
3.
4.
5.
6.
The number of man-hours per day for each of the
fiberglass casting is no more than 360. 24x+9y≤360
The number of man-hours per day for painting is at
most 360. 4x+12y≤360
The number of man-hours per day for assembly is at
most 1080. 60x+40y≤1080
No more than 13 Guppies can be made per day.
x≤13
At least 10 boats, total, must be made each day.
x+y≥10
The number of Sticklebacks per day must be no more
than 4 times the number of guppies made per day.
y≤4x

5. (4,1)
(11,10)
(2,8)
(13,5)
(10,0)
(13,0)

6. Objective Function
C= 400x+300y
(11,10)
C=400(11)+300(10)=$7400
(13,5)
C=400(13)+300(5)=$6700
(13,0)
C=400(13)+300(0)=$5200
(10,0)
C=400(10)+300(0)=$4000
(2,8)
C=400(2)+300(8)=$3200
(4,1)
C=400(4)+300(1)=$1900
Optimal Solution
If Sinkin’ boat Company wants to make maximum
profit, then they must sell 11 Guppy Boats and 10
Sickleback Boats.