Because of new federal regulations on​ pollution, a chemical plant introduced a​ new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 20 grams of sulfur dioxide and 40 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 20 grams of particulate matter for each gallon produced. The company makes a profit of 60d per gallon and 20p per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. (A) If the government allows the plant to emit no more than 19,000 grams of sulfur dioxide and 30,000 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? What is the maximum daily profit? Summarize the model.
P = 60x +20y
Under the stated government regulations a maximum profit ofis obtained by producing of product using the old process and___is obtained by producing product using the new proces
(B) Discuss the effect on the production schedule and the maximum profit if the government decides to restrict emissions of sulfur dioxide to 12,200 grams daily and all other data remain unchanged. Use a similar process to obtain the constraints for the new model of product using the new.
(C) Discuss the effect on the production schedule and the maximum profit if the government decides to restrict emissions of sulfur dioxide to 5,800 grams daily and all other data remain unchanged.