Kevin Peters owns a bakery chain that procures eggs from a poultry farm at $3 per dozen. The bakery uses the eggs to make cakes, which it sells to a distributor for $8 per pound. The distributor sells the cake to a supermarket for $10 per pound, which sells it to customers for $15 per pound. Which of the following is true?

a. The value added by the distributor is $10.

b. The supermarket added more value than the bakery.

c. The value added by the supermarket is $2.

d. The value added by Kevin Peters is $8.