Cleopatra wants a box made to hold her jewels. It is to be 8 cubic cubits. The b
ID: 3210102 • Letter: C
Question
Cleopatra wants a box made to hold her jewels. It is to be 8 cubic cubits. The bottom is to be made of gold sheet, the four sides to be made of silver sheet, and the top is to be made of pearl-encrusted sheet welded to gold sheet. She offers you 400 shekels to make the box. Gold sheet costs 16 shekels per square cubit, silver sheet costs 6 shekels per square cubit, and pearl-encrusted sheet costs 8 shekels per square cubit. It will need two gold hinges at a cost of 4 shekels each and a gold handle at 5 shekels. Silver to silver welds cost 2 shekels per cubit, silver to gold welds cost 4 shekels per cubit, and pearl sheet to gold sheet welds cost 5 shekels per cubit. You figure it will take you approximately 30 hours to make the box. Should you take the commission?Explanation / Answer
Since box is a cube, of volume 8 cubic units, the minimum area required for given volume is a cube of dimensions
2 units.
Bottom area = 4 sq units: Cost for gold = 4x16 = 64
Laterla area = 2(2)(2+2) = 16: Cost for silver = 6x16 =96
Toparea = 4 sq units: Cost for pearl = 8x4 = 32
Cost of 2 gold hinges = 2x4 = 8
cost of gold handle = 1x5 =5
Welding cost: Silver to gold = 16x2 =32
Silver to silver (sides) = 16x4=64
Pearl to silver (top) = 16 x5=80
Total cost = 381 shekels
Labour cost = 30 hours x 3 = 90 shekels
Aggregate cist = 471 shekels
Sales price = 400 shekels
Since there is a loss, do not accept this commitment.
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