Kendall Square Inc makes and sells ramen to the large number of students around MIT. Kendall Square Inc uses the production function(,)=(+2)

1

3

. Input prices are=2

and=3

for labor and capital respectively. It operates in a perfectly competitive environment facing a price=$48

, and uses an initial amount of capital

=12

.

Compute the firm's short-run cost function. To verify that you have the correct short-run cost function, calculate the short-run cost of producing 8 units of ramen.