$1.$ An optometrist orders eyeglass frames at a cost of $$60$ per frame and sells each frame for $$70.$ Annual holding cost is $25\%$ of the optometrist$$s cost of purchasing a frame. Each time frames are ordered, a cost of $$175$ is incurred. Because of lost goodwill, a cost of $$60$ is incurred each time a customer wants a frame that is not in stock. Frames are delivered two weeks after an order is placed. Annual demand for frames is N$(1,040,20\mathrm{.}42).$