According to the article "characterizing the severity and risk of drought in the poudre river, colorado" (j. of water res. planning and mgmnt., 2005: 383–393), the drought length is the number of consecutive time intervals in which the water supply remains below a critical value (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). the cited paper proposes a geometric distribution with for this random variable.

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.