Case 5-1 Let There Be Light Lamp

Givens:
12 inch = 1 feet.
Style (A) dimensions = 12 x12 x 12.
• Package cost 60 cent.
• Package weight 1 pound.
• Style (A) Shade cost $ 4.
• Style (A) Shade weight 10 pounds.
Total Package + Shade (A) cost = $ 4 + 60 cents = $ 4.6.
Total Package + Shade (A) weight = 1 + 10 = 11 pounds.
Total Package + Shade (A) volume = 1728 inch3 = 1 foot3

Container dimensions:
8 x 8.5 x 40 = 2720 ft3
Maximum container weight = 44000
Container price = $ 1000

Shade (B)
Package style (B) Shade dimensions = 12 x12 x 48.
Package style (B) Shade cost = $ 2.
Style (B) Shade cost = $ 5.
No. of Shades (B) ÷ Package = 6
Package total cost = 6 x 5 + 2 = $ 32
Package total weight = 62 pounds
Package total volume = 6912 inch3 = 4 ft3

Shade (C)
Package style (C) Shade dimensions = 12 x12 x 50.
Package style (C) Shade cost = $ 3
Style (C) Shade cost = $ 6
No. of Shades (C) ÷ Package = 10
Package total cost = 10 x 6 + 3 = $ 63
Package total weight = 101 pounds
Package total volume = 7200 inch3 = 4.17 ft3

Question1:
How many style A shades can be loaded into an intermodal container?
The volume of the container ÷ the volume of one package = 2720 ÷ 1 = 2720 package Style (A) Shade.
Package contains 1 shade = 2720 Style (A) Shade.
Total weight = 2720 x 11 p = 29920 < 44000 (total weight of container).

Question 2: How many style B shades can be loaded into an intermodal container?
The volume of the container ÷ the volume of one package = 2720 ÷ 4 = 680 package Style (B) Shade.
Package contains 6 = total shades 680 x 6 = 4080 Style (B) Shade.
Total weight = 680 x 62 p = 42160 < 44000 (total weight of container).

Question 3:
How many style C shades can be loaded into an intermodal container? The volume of the container ÷ the volume of one package = 2720 ÷ 4.17 = 652. 27 approximately 652 package Style (B) Shade.
Total weight = 652 x 101 p = 65852 > 44000 (total weight of container).
Maximum no. can fit in the container = 44000 ÷ 101 = 435.6