Suppose that for example 15.1, the gas-processing plant decides to produce a third grade of product with the following characteristics: supreme raw gas 15 m3/tonne production time 12 hr/tonne storage 5 tonnes profi t $250/tonne in addition, suppose that a new source of raw gas has been discovered so that the total available is doubled to 154 m3/week.

(a) set up the linear programming problem to maximize profi t.
(b) solve the linear programming problem with the simplex method.
(c) solve the problem with a software package.
(d) evaluate which of the following options will raise profi ts the most: increasing raw material, storage, or production time.

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.