Convert the below problem into its equivalent dual problem. Conduct a sensitivity analysis of both the problems and define the sensitivity aspects of the case by relating both primal and dual problems. Case: New order has begun at Nawaz Jewelry Store Nawaz jewelry store makes necklaces and bracelets from gold and platinum. The store has 180 ounces of gold and 200 ounces of platinum per month. 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. The demand for bracelets is always more than or equivalent to forty per month. A necklace earns $300 in profit and a bracelet, $400. The store wants to determine the number of necklaces and bracelets to make in any given month in order to maximize the profit