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Please answer correctly A Jewelry Store makes Necklaces and Bracelets from Gold, Platinum, and Nickel. The store has 18 ounces of Gold, 20 ounces of

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A Jewelry Store makes Necklaces and Bracelets from Gold, Platinum, and Nickel. The store has 18 ounces of Gold, 20 ounces of Platinum, and 40 ounces of Nickel available for its production run this week. Each Necklace requires 3 ounces of Gold, 2 ounces of Platinum, and 4 ounces of Nickel whereas each Bracelet requires 2 ounces of Gold, 4 ounces of Platinum and 5 ounces of Nickel. The demand for Bracelets is not more then 4 and the firm also is required to make at- least I necklace. Each Necklace produced earns $300 in profit, and each Bracelet produced earns $400 in profit. The store wants to determine the number of Necklaces and Bracelets to make in order to maximize profit.

A. State the Decision variables in this problem. B. State the Objective Function.

C. Clearly identify AND briefly explain all Constraints. D. Identify the feasible area using the graphical approach. Put Bracelets on the Vertical Axis and Necklaces on the Horizontal axis.

E. What is the Optimal Solution to this problem?

F. Does this problem exhibit any Redundant Constraints? If so, what are they? G. Does this problem exhibit Infeasibility? If so, explain why. H. Does this problem exhibit any Alternate Optimal Solutions? If so, explain what they are. i. Does this problem exhibit an Unbounded Solution? If so, clearly identify this on your graph.

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