Answer:
Henry’s utility function is x^2 + 16xw + 64w^2 , [tex]x^{2} +16xw+ 64w^{2}[/tex] Henry’s indifference curves are hyperbolas.
Explanation:
"The standard equation for a hyperbola with a vertical transverse axis is - = 1. The center is at (h, k). The distance between the vertices is 2a. ... A hyperbola with a vertical transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h)."