Problem 3 (5 points):

A jewelry store makes necklaces and bracelets from gold and platinum. The store has 16 ounces of gold and 25 ounces of platinum. Each necklace requires 3 ounces of gold and 2 ounces of platinum, whereas each bracelet requires 2 ounces of gold and 4 ounces of platinum. A necklace earns $300 in profit, and a bracelet earns $400. The store wants to determine the number of necklaces and bracelets to make in order to maximize profit.

Formulate a linear programming model for this problem.

(Write down the decision variables definition, objective function, and constraints for the linear programming model)