Solve linear programming problem: Amanda likes to spend her spare time making he

Question

Solve linear programming problem: Amanda likes to spend her spare time making her own jewelry and sells the pieces on Amazon. This month she wants to spend $80 on supplies to make necklaces, earrings, and bracelets. The supplies needed to make each necklace cost $3, to make each pair of earrings cost $2, and to make each bracelet cost $4. Earrings are her biggest seller and bracelets sell the least, so the number of pairs of earrings she makes is always 10 more than 3 times the number of bracelets. What are her options for the number of each type of jewelry she can make?

Explanation / Answer

Let braclets be x and necklace be y

Earing =x+10

80 = 2(x+10)+3y+4x

60=6x+3y

20=2x+y

Possible solutions are

x=0,y=20

1,18

2,16

3,14

4,12

5,10

6,8

7,6

8,4

9,2

10,0

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