A business that manufactures small alarm clocks has weekly fixed costs of \( \$ 6500 \) . The average cost per clock for the business to manufacture \( x \) clocks is described by \( \frac { 0.5 x + 6500 } { x }\).

a. Find the average cost when \( x = 100,1000 \) , and \( 10,000 \) .

b. Like all other businesses, the alarm clock manufacturer must make a profit. To do this, each clock must be sold for at least \( 50 \% \) more than what it costs to manufacture. Due to competition from a larger company, the clocks can be sold for \( \$ 1.50 \) each and no more. Our small manufacturer can only produce \( 2000 \) clocks weekly. Does this business have much of a future? Explain.

a. The average cost when \( x = 100 \) is \( \$ \square \) .

(Type an integer or a decimal.)