Victoria Jewelry is developing two types of bracelets, Small bracelet and Big bracelet, at a minimal cost. Supplier of beads used in these bracelets can only sell if the order size contains at least 45 red beads, at least 36 yellow beads, and at least 40 blue beads. Short bracelet will have 5 red beads, 2 yellow, and 2 blue beads, whereas Big bracelet will have 3 red beads, 3 yellow, and 5 blue beads. In order to be competitively priced and to have a good profit margin, cost for Short bracelet needs to be $0.97 per bracelet and for long bracelet it needs to be $1.89 per bracelet. Using linear programming technique,
a. state Objective Function:
b. state all Constraints:
c. graph this linear programming (LP) problem:
d. solve the LP problem to determine how many units of each types of bracelets should the store product to minimize its cost?:
e. Substitute the values of optimal solution from d. to verify if each of the constraints in b. are met or not.: