A large retail store buys soap from a supplier. The monthly demand of the soap averages $2,700,000$ units per year. Ordering is done by computer and is estimated to cost $$400,$ including the cost of a quick inventory and payment transfer. The company has determined that its inventory carrying cost for soap is $18\%$ per year. The product is valued at the suppliers facility at $$16$ for each unit. The supplier charges $$1\mathrm{.}75$ per unit of soap to have them shipped to the retail firm$$s distribution center. What is the recommended economic order quantity for this product? Show all of your calculations