Jessica needs to get her bicycle fixed. The mechanic at the shop charges $30 per hour for labor, and the new parts cost $48.50. When the job was done, the total cost of fixing Jessica's bicycle came to $123.50. The technician at the bike shop said he spent 2.5 hours fixing Jessica's bike, but she's not sure if the price is right. How can Jessica determine whether the technician charged her the correct amount? This type of problem can be solved by using equations. In this lesson, you will explore how to solve equations that require more than one step.

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.