A company faces the following demands during the next three periods: period $1,20$ units; period $2,10$ units; period $3,15$ units. The unit production cost during each period isas follows: period $1$$$13$; period $2$$$14$; period $3-$$$15.$ A holding cost of $$2$ per unit is assessed against each period's ending inventory. At the beginning of period $1,$ the companyhas $5$ units on hand. In reality, not all goods produced during a month can be used to meet the current month's demand. To model this fact, we assume that only one half of the goods produced during a period can be used to meet the current period's de$-$ mands. Formulate an LP to minimize the cost of meetingthe demand for the next three periods. $($Hint: Constraintssuch as i$,=$ x$,+5-20$ are certainly needed. Unlike ourexample, however, the constraint i$,0$ will not ensure