Beautiful Carpets Ltd$.$ Assume that Beautiful Carpets Ltd has its own manufacturing facility in which it produces carpets. The ordering cost, K$=150$$$,$ is the cost of setting up the production process to make the carpets. Moreover, the holding cost is h$=0\mathrm{.}75$$ per yard per year and D$=10,000$ yards per year. The manufacturing facility operates the same days the store is open $($i$.$e$.311$ days a year$)$ and produces $150$ yards of the carpet per day. Determine the optimal order size, total inventory cost, the length of time to receive an order, the number of orders per year, and the maximum inventory level.