At time t = 0, a store has 19 units of a product in inventory. The cumulative number of units sold is given by S(t) = e^3t - 1, where t is measured in weeks. The inventory will be replenished when it drops to 1 unit. The cost of carrying inventory until then is 15 per unit per week (prorated for a portion of a week). Calculate the inventory carrying cost that will be incurred before the inventory is replenished. Choose one of the following.

(a) 90 

(b) 199 

(c) 204
(d) 210 

(e) 294