In the mid 1980s, what emerging product market did a major foreign competitor capitalized on and Kodak miss due to a poor understanding of the company's core competency

Kodak missed the digital camera revolution that it started.

Explanation:

According to history, Kodak's Steve Sasson was the first to invent a digital camera prototype in 1975.

But, Kodak relied on its past successes to the extent that it could not see beyond its shoulders.  Kodak spotted digital technology opportunity in its business, but it lacked the foresight to sharpen its core competency so that it could redefine the market and its business from a film producing and selling company to one that gives consumers the opportunity to share images online.  It lacked the competency to understand the emerging needs of its customers and woefully failed to invest rightly in digital technology.

On the other hand, Fuji created new opportunities for itself that were related to its core business by branching into magnetic tape optics, videotape, copiers, and office automation.  As a result, it overtook Kodak in market share while Kodak submerged into bankruptcy, from which it later emerged stronger better than it was before the bankruptcy but smaller.

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