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# Graphical solution of linear programming problem

A jewelry store makes necklaces and bracelets from gold and platinum. The store has 18 ounces of gold and 20 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. The demand for bracelets is no more than 4. A necklace earns \$300 in profit and a bracelet, \$400. The store wants to determine the number of necklaces and bracelets to make in order to maximize profit.

a. Formulate a linear programming model for this problem.
b. Solve this model using graphical analysis.

#### Solution Preview

Question 13:

A jewelry store makes necklaces and bracelets from gold and platinum. The store has 18 ounces of gold and 20 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. The demand for bracelets is no more than 4. A necklace earns \$300 in profit and a bracelet, \$400. The store wants to determine the number of necklaces and bracelets to make in order to maximize profit.

a. Formulate a linear programming model for this problem.
b. Solve this model using graphical analysis.

Let number of necklaces be = n
Let number of bracelets be = b

Since 3 ounces of gold is required for each necklace, 3n ounces of gold is required for n ...

#### Solution Summary

To find the linear programming problem using graphical method.

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