Carts Corporation
is trying to determine how long it takes for one product to pass through the production process. The following information was gathered regarding how many days the product spent in various production activities:
Activity Number of Days
Inspection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Storage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Assembly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Handling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Painting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Packaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
a. Which of the above activities are value-added?
b. What is Carts' total cycle time?
c. Determine Carts' manufacturing efficiency ratio.
d. If Carts implements a total quality management program and a just-in-time inventory system, which of the above activities could be eliminated? What would be the change in Carts' manufacturing efficiency ratio?

Answer:

Following are the solution to the given points:

Explanation:

For point a:

[tex]\text{Value added activities = Assembly and Paintings}[/tex]  

For point b:

[tex]Activity \ \ \ \ \ \ \ \ \ \ \ \ \ Number \ of \ days \\\\[/tex]

[tex]Inspection \ \ \ \ \ \ \ \ \ \ \ \ \ 4 \\\\ Storage\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\ Assembly\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5\\\\ Handling \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\\\\ Painting \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\ Packaging \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\ Total \ cycle\ time \ \ \ \ \ 18\ days[/tex]

For point c:

[tex]\text{Efficiency ratio of production} = \frac{\text{time added value}}{\text{total cycle time}} \\\\[/tex]

[tex]\text{VAT = 5 days assembled + 3 days in paint = 8 days in painting}[/tex]

[tex]= \frac{8}{18} \\\\ = 44.44\%[/tex]

For point d:

In inspection, TQM will cut back 4 days

JIT reduces storage time by 3 days.

Reduction total = 7 days

Retrofiled The total time of the cycle[tex]= 18 \ days - 7 \ days = 11\ days[/tex]

Revised efficiency of production [tex]=\frac{8 \ days}{ 11\ days} =72.73\%[/tex]

The value added activities are assembly and paintings, the total chart's time is 18 days, the manufacturing ratio is 44.44% and the revised value of efficiency is 72.73%.

For point A:

Value Added Activities are those activities that modify the product from raw material into finished goods that the customer is willing to pay for.

Hence, the value added activities are assembly and paintings.

For point B:

The chart of the total cycle time is given in the image below:

For option C:  

[tex]\text{Production Efficiency Ratio}=\dfrac{\text{Time Value Added}}{\text{Sum of Time Cycle}}\\\\\text{Value Added Time(VAT)}= \text{Assembled 5 Days}+\text{Days in Paint}\\\\=8\text{Days}\\\\=\dfrac{8}{18}= 44.44\%.[/tex]

For option D:

Time Quantity Management = 4 days,

Just-in-time Inventory Shortage Time= 3 days,

Reduction Total = 7 days,

[tex]\text{Total Time of cycle}=\text{18 days - 7 days}\\\\=11\text{days}[/tex]

[tex]\text{Revised Efficiency Production}=\frac{\text{8 days}}{\text{11 days}}\\\\\\=72.73\%.[/tex]

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