Operation Analysis

Question 7 A rural farmer's auction regularly buys barrels of corn from the local farmers, By Friday of each week, the auction station sells all of their leftover goods to a horse breeder to be used to feed the horses. The auction has been paying $13 per barrel for the fresh corn from the farmers and is able to resell it to the local markets for $28 per barrel. The horse breeder pays only $5 per barrel for the week-old corn. On average the local markets demand 374 (with a a standard deviation of 87 ) barrels of corn each week. Since the farmer's auction needs to place their orders well in advance from the local farmers, how many barrels of corn should the auction purchase each week