Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Masar Industries is analyzing the location of a possible new distribution cen

ID: 443979 • Letter: 1

Question

1. Masar Industries is analyzing the location of a possible new distribution center among five candidates. The data for consideration is located in the table below.

Data

Location 1

Location 2

Location 3

Location 4

Location 5

Fixed Costs

$115,000

$105,000

$95,000

$100,000

$90,000

Direct material cost/unit

$3.45

$3.25

$3.70

$3.35

$3.55

Direct labor cost/unit

$8.50

$8.25

$8.25

$9.25

$9.25

Overhead/unit

$1.10

$1.15

$1.20

$1.15

$1.25

Transportation cost/unit

$1.85

$1.75

$2.10

$1.75

$1.95

Part A) With an annual production rate of 5,500 units, what is the least-cost location?

Part B) Would that location remain the same if the forecast was 25% higher than the current annual production rate? Determine the range of demand (annual production) that would suit each location best. (Hint: find cross-over points up to 25,000 annual production units) Discuss your recommendation for the best location over the next 4 years assuming a 25% growth rate.

Data

Location 1

Location 2

Location 3

Location 4

Location 5

Fixed Costs

$115,000

$105,000

$95,000

$100,000

$90,000

Direct material cost/unit

$3.45

$3.25

$3.70

$3.35

$3.55

Direct labor cost/unit

$8.50

$8.25

$8.25

$9.25

$9.25

Overhead/unit

$1.10

$1.15

$1.20

$1.15

$1.25

Transportation cost/unit

$1.85

$1.75

$2.10

$1.75

$1.95

Explanation / Answer

Total Cost = Fixed Cost + variable Cost

With an annual production rate of 5,500 units, what is the least-cost location is Location 5.

No, As the production rate increases the location also changes from Location 5 to Location 2.

Bold figure show the best location over the next 4 years assuming a 25% growth rate.

Demand <= 6667 , Location 5 best to use

6667<=Demand<=11765 Location 3 best to use.

Demand >= 11765 Location 2 is best to use.

Location 1 and 4 is not suitable.

Data Location 1 Location 2 Location 3 Location 4 Location 5 Fixed Costs $115,000 $105,000 $95,000 $100,000 $90,000 Direct material cost/unit $3.45 $3.25 $3.70 $3.35 $3.55 Direct labor cost/unit $8.50 $8.25 $8.25 $9.25 $9.25 Overhead/unit $1.10 $1.15 $1.20 $1.15 $1.25 Transportation cost/unit $1.85 $1.75 $2.10 $1.75 $1.95 Fixed Cost $115,000 $105,000 $95,000 $100,000 $90,000 Total variable Cost $14.90 $14.40 $15.25 $15.50 $16.00 When Q is 5500 units, Total Cost $196,950.00 $184,200.00 $178,875.00 $185,250.00 $178,000.00 When Q is 6875 (25%high) units, Total cost $217,437.50 $204,000.00 $199,843.75 $206,562.50 $200,000.00 When Q is 8594 (25%high) units, Total cost $243,050.60 $228,753.60 $226,058.50 $233,207.00 $227,504.00 When Q is 10743 (25%high) units, Total cost $275,070.70 $259,699.20 $258,830.75 $266,516.50 $261,888.00 When Q is 13429 (25%high) units, Total cost $315,092.10 $298,377.60 $299,792.25 $308,149.50 $304,864.00