A bakery makes chocolate-covered cherries that are world famous. The seven step

Question

A bakery makes chocolate-covered cherries that are world famous. The seven step process includes:

1) selecting cherries and boiling them in a sugary sauce,

2) pouring a small amount of chocolate onto wax-paper,

3) setting a cherry with sauce onto the chocolate,

4) pouring chocolate over the cherry,

5) removing the cherry from the waxed paper with no damage and placing it in the box,

6) storing the box in the fridge,

7) tying a ribbon around the box.

So far, the store made 3000 chocolate-covered cherries, and the store owner rejected 75 of the chocolate-covered cherries. This results in a DPMO of approximately:

Explanation / Answer

To be calculated:

DPMO

Given values:

Number of steps in making chocolate-covered cherries = 7

Total number of chocolate-covered cherries = 3,000

Number of rejected chocolate-covered cherries = 75

Solution:

Since, there is a possibility of error in each of the step involved in the process, the total number of opportunities are calculated as;

Number of opportunities = Number of steps in the process x Number of cherries

Number of opportunities = 7 x 3000

Number of opportunities = 21,000

The defects per unit (DPU) is calculated as;

DPU = 75 / 21000

DPU = 0.0035714

Defects per million opportunities (DPMO) is calculated as;

DPMO = DPU x 1,000,000

DPMO = 0.0035714 x 1,000,000

DPMO = 3571.4

Answer: Option (B) - 3571

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