The Rosseral Company is a small to medium size detergent manufacturing company. It is one of several companies having production facilities for a new, nonpolluting "washday whitener" which goes by the name of NPW. Rosseral can sell NPW to other detergent manufacturers for $0. 80 per gallon. Rosseral itself manufactures detergent that uses NPW. This NPW can be purchased outside for $1. 20 per gallon (shipping and handling charges have been added) or be obtained from Rosseral's own production. Each gallon of detergent produced requires. 1 gallon of NPW. Production costs for NPW and detergent are respectively $O. 50 and $0. 60 per gallon. For the detergent production this cost does not include any cost for the gallon of NPW used in each gallon of detergent. Detergent can be sold for $0. 70 per gallon. Production capacities at Rosseral are: NPW: 10,000 gallons per month; detergent: 120,000 gallons per month. Formulate the problem of maximizing profit as a linear program and solve it