If demand was constant at $70$ units per week with a standard deviation of five units in a leadtime of four weeks. The company uses a continuous review process for inventory. Ordering cost are $$50$ per order and holding holding cost are $$2$ dollars per unit per year assume $52$ weeks in a year. Assume $97\%$ service level quote $($Z equals $1\mathrm{.}88)$ What would be the lowest total annual cost?