Lesson 11 - Solving Optimization
Mastery Check
Name: \( \qquad \)
Class Period \( \qquad \)
\( \qquad \)
1. A telephone company needs to lay cable from one of its towers to a small island community that is offshore. The island is 1 mile from the shoreline, and then 3 miles up the shoreline. It costs the company \( \$ 10,000 \) per mile to lay the cable on land, and \( \$ 15,000 \) per mile to lay the cable through the water.
0 the graph of \( \mathrm{t} \boldsymbol{x}=\frac{\pi}{4} \) aph of \( f \) ? J
5
a. Set up an equation that needs to be optimized to find the minimum cost. (3 points)
b. Find how many miles of cable should be put on land to minimize the cost. (2 points)
