Name ______________________Date ____________Score ____ / 12
Optimization problems practice
Optimization problems · 1–12
Use derivatives to find the maximum.
Hard
1.A farmer has 220 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
2.A farmer has 124 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
3.A farmer has 172 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
4.A farmer has 320 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
5.A farmer has 268 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
6.A farmer has 92 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
7.A farmer has 72 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
8.A farmer has 48 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
9.A farmer has 300 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
10.A farmer has 200 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
11.A farmer has 192 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Hard
12.A farmer has 156 m of fence to enclose a rectangular field along a river. The side along the river needs no fence. What is the largest area?
Answer key — Optimization problems practice
Optimization problems
1.6050 m2
2.1922 m2
3.3698 m2
4.12800 m2
5.8978 m2
6.1058 m2
7.648 m2
8.288 m2
9.11250 m2
10.5000 m2
11.4608 m2
12.3042 m2
Made with Math Sheet Studio · mathsheetstudio.com — free printable math worksheets