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Point of Indifference A distribution company is considering two locations for th

ID: 3020560 • Letter: P

Question

Point of Indifference

A distribution company is considering two locations for the construction of a new automated warehouse: Chicago and Dallas. Two types of automation are also being considered: bar coding and RF/ID (radio-frequency identification). The annual operating costs for each type of automation at the two locations are:

Bar Coding

RF/ID

Location

Fixed Cost

Variable Cost per 1,000 units

Fixed Cost

Variable Cost per 1,000 units

Chicago

$1,800,000

$12.30

$2,700,00

$9.70

Dallas

1,500,000

13.10

2,300,000

9.40

For what range of annual product volume handled would each location and type of automation be preferred?

Bar Coding

RF/ID

Location

Fixed Cost

Variable Cost per 1,000 units

Fixed Cost

Variable Cost per 1,000 units

Chicago

$1,800,000

$12.30

$2,700,00

$9.70

Dallas

1,500,000

13.10

2,300,000

9.40

Explanation / Answer

THE BAR CODING AT CHICAGO AND RF/ID AT CHICAGO HAS A DIFFERENCE OF90,000 IN FIXED COST

BUT AROUND 2.6 $ LESS AT EVERY UNIT.

SO IF WE PRODUCE MORE THEN 90,000 UNIT THEN RF/ID IS MORE PROFITABLE

SIMILARLY BAR CODDING AT DALLAS AND RF/ID AT DALLAS HAS A DIFFERENCE OF 80,000 IN FIXED COST

BUT THE VARIABLE COST DIFFERENCE IS 3.70$ PER UNIT

SO IF ER PRODUCE MORE THEN 30,000 UNIT THE DIFFERENCE WILL SURPASS