Title: Optimization (Modeling) Post-Video Questions
Course: Calculus Videos Project > Section: Optimization (Modeling)

Q: Suppose you want to determine the maximum area of an isoceles triangle that has a perimeter of 30 inches (see the image below). Which function would you need to differentiate (in terms of a single variable)?

Let area square inches when the isosceles triangle has side length inches as in the figure
A: (a choice with no text)

Q: A company wants to fence a rectangular storage area consisting of three separate compartments of equal size (see the image below). The fencing costs $3.00 per linear foot and the company has a budget of $180 for building the storage area. Find the length and the width of the storage area that maximizes the total area.
- 15 ft x 10 ft
- 24 ft x 4 ft
- 30 ft x 30 ft
- 45 ft x 30 ft
- 45 ft x 45 ft
- 60 ft x 20 ft
- 82.5 ft x 5 ft
- 90 ft x 90 ft
- 15 ft x 7.5 ft
A: 15 ft x 10 ft

Q: We want to construct a square-base, open top box. We have exactly of material for building the box. If we use all of the material in building the box, what is the largest volume we could enclose in the box? (round your answer to 3 decimal places.)
- 0
- 1.826
- 2.152
- 3.043
- 5
- 8
- 10
- 15
- 100
A: 3.043