In: Operations Management
Tiffany City Lighting (TCL)
Located in Philadelphia, PA, Tiffany City Lighting (TCL), which designs, builds custom lamp shapes, and lamp globes, historically derived all of its sales from customers in the United States and Canada. Recently, an architectural firm that often contracted with TCL was commissioned to design several large public buildings in India. These buildings would require TCL to supply 8,100 identical lights, and the relevant terms of sale would include delivery to the Port of Mumbai where the architectural firm would take possession.
TCL designed a prototype cylindrical lampshade that measured 11 inches high and 11 inches in diameter and would be packed into cartons that measured 12 inches by 12 inches by 12 inches. (We refer to these shades as Style A.) The Style A lamp shades would cost $4 each to manufacture and weighed nine pounds each; each carton cost 60 cents and weighed one pound, meaning that each loaded Style A carton weighed 10 pounds.
In an effort to reduce packaging costs and also enhance the
company’s commitment to environmental logistics, TCL also developed
two prototype lamp shades (referred to as Style B and Style C) in
the shape of a cone, rather than a cylinder. One advantage to
conical shades is that they can be nested, that is, stacked inside
each other, meaning that, unlike Style A, multiple lamp shades
could be packed into a single carton. Moreover, the nested shades
would also help protect each other, although a slight bit of
padding would be needed between the nested shades. The production
costs for the conical lampshades would be higher than those for the
cylindrical shades.
TCL determined that each Style B lamp shade would cost $4.50 to
manufacture and could be shipped nested, with six lamp shades per
carton. The carton dimensions were 12 inches by 12 inches by 40
inches, and when holding six shades, a carton weighed 62 pounds.
Each Style B carton cost $2.00, and this included padding between
the shades. Each Style C lamp shade would cost $5 to make and could
be shipped nested, with 10 lamp shades per carton. The carton
dimensions were 12 inches by 12 inches by 48 inches, and when
holding 10 shades, a carton weighed 101 pounds. Each carton cost
$2.25, including padding between the individual shades.
The lamp shades would be loaded into intermodal containers and
transported by rail to the Port of Baltimore. The transportation
cost to Baltimore was $300 per 20-foot container, without regard to
weight, although the total shipment weight could not exceed 40,000
pounds per container because of highway weight restrictions. The
interior dimensions of the intermodal container were 8 feet wide by
8.5 feet high by 20 feet long. Insurance costs were 2 percent of
the value of the shipment ready to be loaded aboard ship in
Baltimore (i.e., all of the company’s costs up to this point). TCL
learned that the transportation cost from the Port of Baltimore to
the Port of Mumbai were $1000 for a 20-foot container.
Note: Please note that when cartons are loaded on
to a container, they cannot exceed the container weight capacity.
Please provide explanations clearly and carefully.
QUESTIONS
1. How many Style A shades can be loaded into a 20-foot
container? What is effective space used per container if Style A
shades are loaded? How many containers to do you need to satisfy
the contract? If there are multiple ways to load the cartons into a
container, you have to explore them, show the calculations, and
pick the best.
2. How many Style B shades can be loaded into a 20-foot container? What is effective space used per container if Style B shades are loaded? How many containers to do you need to satisfy the contract? If there are multiple ways to load the cartons into a container, you have to explore them, show the calculations, and pick the best.
3. How many Style C shades can be loaded into a 20-foot container? What is effective space used per container if Style C shades are loaded? How many containers to do you need to satisfy the contract? If there are multiple ways to load the cartons into a container, you have to explore them, show the calculations, and pick the best.
4. What are the total costs (which includes manufacturing,
packaging, drayage, insurance, freight transportation) of
delivering the Style A shades to the Port of Mumbai? Show the
calculations.
5. What are the total costs (which includes manufacturing, packaging, drayage, insurance, freight transportation) of delivering the Style B shades to the Port of Mumbai? Show the calculations.
6. What are the total costs (which includes manufacturing, packaging, drayage, insurance, freight transportation) of delivering the Style C shades to the Port of Mumbai? Show the calculations.
7. Which style would you recommend? Why?
1.
For Style A:
12 inch = 1 Foot
Therefore, 12 * 12 * 12 inch = 1 Cubic feet
Container Volume: 8.5 * 8 * 40 = 2720 cubic feet
Available volume: 8 * 8 * 40 = 2560 cubic feet
Therefore, container can hold 2560 packages (8 * 8 * 40)
2.
For Style B:
12 * 12 * 40 inch = 1 * 1 * 3.33 = 3.33 Cubic feet
Container can hold 640 packages (2 * 8 * 40)
Therefore, 3840 lamps (640 *6 = 3840)
Weight requirement (62*640 = 39680) < 44000, therefore 3840 lamps can be loaded
3.
For Style C:
12 * 12 * 48 inch = 1 * 1 * 4 = 4 Cubic feet
Container can hold 640 packages (2 * 8 * 40)
Therefore, 6400 lamps (640 *10 = 6400)
Weight requirement (101*640 = 64640) > 44000, therefore 4356 lamps can be loaded
44000/10.1, 4356 lamps can be loaded
4.
Unit Production cost: $4
Number of units required: 8100
Therefore, total production cost = $4 * 8100 = $ 32400
Unit Packaging cost: $0.6
Number of units required: 8100
Therefore, total packaging cost = $0.6 * 8100 = $ 4860
Land rate to Vancouver: $1400
Number of units required: 8100
Number of style A lamps that container can load: 2560
Number of containers required: 8100/2560 = 3.16. Rounding to 4
Therefore, land rate = $1400*4 = $5600
Insurance Cost: 2% (Production + Packaging + Land Rate)
= 0.02 (32400 * 4860 * 5600) = $857.2
Freight rate: $800
Therefore, Freight rate = $800*4 = $3200
Total Cost = Production Cost + Packaging Cost + Land Rate + Insurance Cost + Freight rate
= 32400 + 4860 + 5600 + 857.2 + 3200 = $ 46917.2
5.
Unit Production cost: $4.5
Number of units required: 8100
Therefore, total production cost = $4.5 * 8100 = $ 36450
Unit Packaging cost: $2
Number of units required: 8100
Number of required cartons: 1350
Therefore, total packaging cost = $2 * 1350 = $ 2700
Land rate to Vancouver: $1400
Number of units required: 8100
Number of style B lamps that container can load: 3840
Number of containers required: 8100/3840 = 2.10. Rounding to 3
Therefore, land rate = $1400*3 = $4200
Insurance Cost: 2% (Production + Packaging + Land Rate)
= 0.02 (36450 * 2700 * 4200) = $867
Freight rate: $800
Therefore, Freight rate = $800*3 = $2400
Total Cost = Production Cost + Packaging Cost + Land Rate + Insurance Cost + Freight rate
= 36450 + 2700 + 4200 + 867 + 2400 = $ 46617
6.
Unit Production cost: $5
Number of units required: 8100
Therefore, total production cost = $5 * 8100 = $ 40500
Unit Packaging cost: $2.25
Number of units required: 8100
Number of required cartons: 810
Therefore, total packaging cost = $2.25 * 810 = $ 1822.5
Land rate to Vancouver: $1400
Number of units required: 8100
Number of style C lamps that container can load: 4356
Number of containers required: 8100/4356 = 1.85. Rounding to 2
Therefore, land rate = $1400*2 = $2800
Insurance Cost: 2% (Production + Packaging + Land Rate)
= 0.02 (40500 * 1822.5 * 2800) = $902.45
Freight rate: $800
Therefore, Freight rate = $800*2 = $1600
Total Cost = Production Cost + Packaging Cost + Land Rate + Insurance Cost + Freight rate
= 40500 + 1822.5 + 2800 + 902.45 + 1600 = $ 47624.95
7.
Style B, as total cost is less than Style A and Style c.