To break even, Akeem needs to earn back the total cost of making the cups and paying for the stand.
The cost of making one cup is $2.
The renter's fee for the stand is $40.
So the total cost Akeem needs to cover is $2 + $40 = $<<2+40=42>>42.
To determine how many cups Akeem needs to sell to break even, we divide the total cost by the selling price per cup:
$42/$6 = <<42/6=7>>7.
Therefore, Akeem needs to sell 7 cups to break even.