Question: The process of frying food changes its quality, texture, and color. According to research done at the University of Saskatchewan, the total change in color
The process of frying food changes its quality, texture, and color. According to research done at the University of Saskatchewan, the total change in color E (which is measured in the form of energy as kJ/mol) of blanched potato strips can be estimated by the function E(t, T) = 436.16 - 10.57t - 5.46T - 0.02t2 + 0.02T2 + 0.08Tt, where T is the temperature (in°C) and t is the frying time (in min).
(a) What is the value of E prior to cooking? (Assume that T = 0.)
(b) Use this function to estimate the total change in color of a potato strip that has been cooked for 10 minutes at 180°C.
(c) Determine the critical point of this function and determine if a maximum, minimum, or saddle point occurs at that point. Describe what may be happening at this point.
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