Hyperplane Economics: Beyond Conventional Boundaries

Holy Hyperplanes Batman!
Dick (aka Robin): Gosh, Economics is sure a dull subject.
Bruce (aka Batman): Oh, you must be jesting, Dick. Economics dull? The glamour, the romance of commerce. Hmm. It’s the very lifeblood of our country’s society.
The Batman TV Series, The Joker’s Last Laugh [2.47]

You’d be bored with economics, too, if you didn’t get a chance to whip out a hyperplane or two. It turns out that they are not just some superfluous hidden geometries but ways to see and solve unseen problems.

Here’s a riddle: How do you model the options for a new bomber?

Here’s how Hypernomics approaches that. First, work out the Demand Frontier for planes of that ilk, as shown in (A) below. Then, find a quantity or two you like and their related maximum prices. In the adjacent Value Space, derive the Value of the bombers as a function of speed, range, and quantity. Set the quantity in the Value Space to your limits along the Demand Frontier. Then, plot the hyperplanes for Value and let them intersect your horizontal price-limited planes. As straight lines in log space, those intersections appear as the curves in the linear plane (B), revealing your options.

For more insight, consider adding payload and stealthiness to the mix.