A popular product called pfillip, a non narcotic stimulant, is produced by a competitive industry. Each firm in this industry uses the same production technology, given by the production function
y = k1/6l1/3
where y is the amount of pfillip produced, k is the amount of kapitose (a special chemical) and l is the amount of legume (a common vegetable) used in production. The current prices of kapitose and legume are $1 and $1/2 per unit respectively. Firms also incur fixed costs of $1/6. If the market price of pfillip is also $1, how profitable is the average firm?