Carlton Cookie Company produces a hand$-$processed gourmet cookie that is made with organic sugar.Five $(5)$ pounds of organic sugar are required per batch of gourmet cookies. The organic sugar costs $$2\mathrm{.}40$ per pound. The company needs to have $20\%$ of the following month's production needs of organic sugar in ending inventory so it is on hand to start each month. A total of $120$ pounds of organic sugar are expected to be on hand on January $1.$