A national circus organization performs in outdoor locations in approximately 35 cities each year. The same technical crew is used to set up and take down rides for all locations. Given that the set up for the rides is exactly the same at each location, and set up at the first location for a particular ride takes 85 minutes, how long would the set up for the same ride take at the 8^th location? Assume a 75 percent learning rate and round to two places to the right of the decimal. A) 11.35 minutes B) 35.860 minutes C) 47.81 minutes D) 26.90 minutes E) 63.75 minutes F) None of the above

Question

Quizplus · Accepted Answer

The correct setup time at the 81st location, given a 75 percent learning rate, can be calculated using the learning curve formula: Tn = T1 * n^b, where Tn is the time it takes to produce the nth unit, T1 is the time it takes to produce the first unit, n is the unit number, and b is the learning curve coefficient. The learning curve coefficient (b) can be calculated using the formula b = log(learning rate) / log(2). For a 75% learning rate, b = log(0.75) / log(2). Applying this to the 81st unit, and given that the first unit takes 85 minutes, we can calculate the time for the 81st unit. The calculation confirms that the setup time significantly reduces due to the learning effect, aligning with choice B.

A National Circus Organization Performs in Outdoor Locations in Approximately