Georgina Consumes Only Grapefruits and Pineapples

Multiple Choice

Georgina consumes only grapefruits and pineapples.Her utility function is U(x, y) = x²y⁸, where x is the number of grapefruits consumed and y is the number of pineapples consumed.Georgina's income is $105, and the prices of grapefruits and pineapples are $1 and $3, respectively.How many grapefruits will she consume?

A) 10.5
B) 7
C) 63
D) 21
E) None of the above.