Formulation. Formulate a LP model for the following problem. (Do not solve) Demand for a product for the following quarters is 500, 70o, 600, 300 units, respectively. The price per units starts at $30 in supplier can provide no more than 500 units in any one quarter. Although we can take advantage of lower prices in early quarters, a storage cost per units starts at $3 in the first quarter the first quarter and increases by $5 each quarter thereafter. The and increase by $1 each quarter thereafter (Storage cost is charged on end-of-month inventory). In addition, the number of units that can be held over form one quarter to the next must be 50 or less. Develop an LP model to determine the optimum schedule for purchasing the item to meet the demand.
a. Define the decision variables
b. Write down the LP objective function.
c. Write down the LP constraints.