9.28. An article in the Journal of Chemical Technology and Biotechnology (“A Study of Antifungal Antibiotic Production by Thermomonospora sp MTCC 3340 Using Full Factorial Design,” 2003, Vol. 78, pp. 605–610) investigated three independent variables—concentration of carbon source (glucose),

concentration of nitrogen source (soybean meal), and temperature of incubation for their effects on the production of antifungal antibiotic by the isolate Thermomonospora sp MTCC 3340. A 33 factorial design was conducted and the results are shown in the table on the previous page.

(a) Analyze the data from this experiment.

(b) Fit a second-order model to the activity response.
Construct contour plots and response surface plots to assist in interpreting the results of this experiment.

(c) What operating conditions would you recommend to optimize this process?

Transcribed Image Text:

Run no Percent carbon (glucose) Percent nitrogen (soybean meal) Temperature (C) Activity against C albicans" 1 5 2225 2345 0.5 25.84 1.0 51.86 3.0 32.59 0.5 20.48 5 1.0 25 25.84 69 7 8 525 3.0 12.87 7.5 0.5 20.48 7.5 9 7.5 55 1.0 25.84 3.0 10.20 10 11 12 13 2225 0.5 51.86 1.0 131.33 3.0 41.11 0.5 41.11 14 5 1.0 30 104.11 15 5 3.0 32.59 16 7.5 0.5 65.42 17 7.5 1.0 82.53 18 7.5 3.0 51.86 19 20 21 22 2225 0.5 41.11 1.0 104.11 3.0 32.59 0.5 32.59 23 5 1.0 35 82.53 24 5 3.0 25.84 25 7.5 0.5 51.86 26 7.5 1.0 65.42 27 7.5 3.0 41.11