Develop a spreadsheet to find the optimal order quantity

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Reference no: EM131410207

One of the items sold at a museum of natural history is a Christmas ornament carved of wood. The gift shop purchases the ornament from a vendor. The unit cost forall ornaments it orders depends on the number ordered. The quantity discount structure is as follows:

  • If the number ordered is less than 3, the unit cost is $12;
  • For at least 3 ornaments, the price is $10;
  • For at least 5 ornaments, the price is $9;
  • For at least 8 ornaments, the price is $8.5.

If the ornament is sold during the season, it is sold at $25 per ornament. When the season is over, the leftover ornaments can be sold back to the vendor for $5. The demand for ornaments has the following distribution:

Demand Quantity

Probability

0

0.01

1

0.03

2

0.08

3

0.14

4

0.18

5

0.17

6

0.15

7

0.10

8

0.08

9

0.05

10

0.01

Develop a spreadsheet to find the optimal order quantity (Q). Q can be any integer from 0 to 10.

  • Your spreadsheet should show the ordering quantity discount structure.
  • Your spreadsheet should show profits for every combination of Q and demand. These profits should be shown in a two-way table.
  • Your spreadsheet should show the expected profits for each possible value of Q.
  • Your spreadsheet should show a graph (bar chart) of the expected profits versus Q.
  • Your spreadsheet should identify the optimal order quantity along its associated expected profit.

(Hint: Use the Sam's Bookstore example as template)

Turn in a hardcopy of the Excel spreadsheet showing all the above requirements.
Turn in a hardcopy of the Cost formula. Below is an example:
The formula in B18 (total cost) is: =VLOOKUP(B9,D5:E9,2,TRUE)*B9

Reference no: EM131410207

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