Ball Inc. specializes in producing disinfectants. In developing a new disinfectant, company scientists have specified that the mixture must contain at least 26% hydrogen, at least 30% oxygen, and no more than 28% water. The percentages of each of these constituents in two types of ingredients that can be used to produce the disinfectant are given in the table, along with the wholesale cost per pound. The company would like to determine the amount of each type of ingredient to use in order to minimize cost but still meet the production requirements.
Ingredient Hydrogen% Oxygen% Water% Cost/lb
DDT 32.9 52 15.1 $0.44
Solid carbon dioxide 24 8 16.6 $3.80