1. A more general contingency model of optimal diet choice is develope
d, allowing for simultaneous searching and handling, which extends the
theory to include grazing and browsing by large herbivores. 2. Foragi
ng resolves into three modes: purely encounter-limited, purely handlin
g-limited and mixed-process, in which either a handling-limited prey t
ype is added to an encounter-limited diet, or the diet becomes handlin
g-limited as it expands. 3. The purely encounter-limited diet is, in g
eneral, broader than that predicted by the conventional contingency mo
del, 4. As the degree of simultaneity of searching and handling increa
ses, the optimal diet expands to the point where it is handling-limite
d, at which point all inferior prey types are rejected, 5. Inclusion o
f a less profitable prey species is not necessarily independent of its
encounter rate and the zero-one rule does not necessarily hold: some
of the less profitable prey may be included in the optimal diet. This
gives an optimal foraging explanation for herbivores' mixed diets. 6.
Rules are shown for calculating the boundary between encounter-limited
and handling-limited diets and for predicting the proportion of infer
ior prey to be included in a two-species diet, 7. The digestive rate m
odel is modified to include simultaneous searching and handling, showi
ng that the more they overlap, the more the predicted diet-breadth is
likely to be reduced.