Suppose Milton has $50 to be divided between corn and beans and that the price of beans

Question:

Suppose Milton has $50 to be divided between corn and beans and that the price of beans is $0.50 per pound. What will be the relationship between the price of corn and the amount of corn he will buy if U = log Qc + 4 log Qb, where U is his utility, Qc is the quantity of corn he consumes (in pounds), and Qb is the quantity of beans he consumes (in pounds)?