1) James is helping a local jewelry store determine how many gold necklaces, bracelets, rings, and earrings it should carry for the coming Mother's Day. (We call these items the stock.) The objective is to minimize the number of grams of gold used in these items. Each necklace contains 8 grams of gold, each bracelet contains 3.9 grams, each women's ring contains 4 grams, and each pair of earrings contains 6 grams. It is assumed that every piece stocked will be sold. The constraints below reflect that the store has only 216 square inches of display space, that it has only 2 hours (120 minutes) to set up the display, that it must make at least $7000 of profit from the sales, and that its combined sales of bracelets, rings and earrings must be at least 50 units. The linear programming model and the sensitivity analysis reports are given at the end of this document. Based on the sensitivity report, provide answers to the following questions (briefly JUSTIFY ALL your answers). If sensitivity analysis does not allow you to answer a question, briefly explain why this is so. a) How many grams of gold are used in the optimal stock plan? b) What would be the impact on the total weight if the display space increases to 218 sq.in.? c) Suppose the time available to set up the display was three hours rather than two hours. What impact would this have on the total number of grams of gold used in the jewelry stock? d) Suppose that the jewelry store changes its minimum acceptable profit to $7100. How would this impact the optimal total number of grams of gold used in the stock? e) Would the stock decisions change if the minimum acceptable profit changes to $6900? f) Suppose that the gold required for a necklace was 10 grams. By how many grams would the total amount of gold used in the stock change? g) By how much would the amount of gold used in a ring have to be reduced before James might optimally include it in the stock plan? h) Suppose that James decides to eliminate the marketing constraint. Could this decision change the optimal solution? i) Suppose James has the option to increase the display space by 0.1 sq. in or decrease the expected profit by $5. Which one is the better option to use fewer grams of gold