Carlos's utility function is

u$($a$,$b$)=$a$+2$b$,$

where a is his consumption of artichokes and b is his consumption of broccoli.

Laura's utility function is

u$($a$,$b$)=$min$\{$a$,2$b$\}.$

Laura initially has $60$artichokes and no broccoli. Carlos initially has $60$broccoli and no artichokes Let ac be Carlos's consumption of artichokes and let bc be his consumption of broccoli. Let artichokes be the numeraire, and let the price of broccoli be p$.$At competitive equilibrium, Carlos's consumption will have to satisfy the budget constraint

ac $+\_\_$bc $=\_\_$p