Question: Suppose you are a baseball pitcher with two pitches, fastball and curve. Your opponents batting averages against these two pitches are as shown in the

Suppose you are a baseball pitcher with two pitches, fastball and curve. Your opponents’ batting averages against these two pitches are as shown in the diagram below. If your goal is to minimize your opponents’ overall batting aver-age, what is the optimal proportion of fastballs? At this proportion, what are opponents’ batting averages against your two pitches?

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