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One other thing you don't capture is Exxon's status as a "baseline producer." It is the marginal producers that increase production in response to pricing changes, and based on the ramp up of the Canadian oil sands (a whole colony of marginal producers) and the money spent on production enhancement technologies (fracing and pumping), pricing does have some impact on supply.
Oil is relatively inelastic, I'd imagine (especially at high prices where all marginal fields are profitable), but it isn't as cut and dry as you portray with your simplistic charts.
The EIA appears to believe that US oil production would have at least some elasticity (they show substantially different production profiles based on price). Of course Exxon is only one data point, but as either the largest or second largest of the oil majors, and a highly diversified one, they are exposed to a significant cross-section of the industry, so that the fact that they cannot (or won't) increase production is significant. Most of the other majors are actually in decline:
The main exception, BP, has primarily been benefiting from significant exposure to a Russian subsidiary.
Here's their exploration spending from the 2004 annual report. Doesn't look like we should expect a fundamental change in the next few years.