SY Manufacturers $($SYM$)$ is producing T$-$shirts in three colors: red, blue, and white. The monthly demand for each color is $3,000$ units. Each shirt requires $0\mathrm{.}5$ pound of raw cotton that is imported from Luft$-$Geshfet$-$Textile $($LGT$)$ Company in Brazil. The purchasing price per pound is $$2\mathrm{.}50($paid only when the cotton arrives at SYM$\text{'}$s facilities$)$ and transportation cost by sea is $$0\mathrm{.}20$ per pound. The traveling time from LGT$$s facility in Brazil to the SYM facility in the United States is two weeks. The cost of placing a cotton order, by SYM$,$ is $$100$ and the annual interest rate that SYM is facing is $20$ percent.