Task: Functional-Dependency (source dataset: Auto-Relate)

Given a table represented shown below, your task is to determine functional dependencies that exist in the table. Recall that a functional dependency is a relationship where the value of one attribute (or a set of attributes), known as the determinant columns, can uniquely determines the value of another attribute, known as the dependent columns (e.g., student-ID => student-Name, car-model => car-make, employee-ID => department, etc.).

Instructions:
Analyze the provided table below, identify all functional dependencies that should semantically hold in the table. Do not produce spurious relationships that not semantically meaningful.

No explanation, format the output as a JSON object:{"Functional-Dependency": <list of functional dependencies>}. Each functional dependency should be represented as [<determinant column>, <dependent column>]

Input Table:
| Sales Person        | Geography   | Product              | Date                    |   Customers |   Boxes |    Sales |    Cost | Category   |   Cost per box |   Price per box |
|:--------------------|:------------|:---------------------|:------------------------|------------:|--------:|---------:|--------:|:-----------|---------------:|----------------:|
| Oby Sorrel          | Australia   | Raspberry Choco      | 2021-04-29 00:00:00.000 |         364 |     329 | 1228.65  | 1266.65 | Bars       |           3.85 |          3.7345 |
| Oby Sorrel          | UK          | Almond Choco         | 2021-03-16 00:00:00.000 |         323 |       9 |   77.868 |   46.35 | Bars       |           5.15 |          8.652  |
| Gunar Cockshoot     | New Zealand | Orange Choco         | 2021-04-01 00:00:00.000 |          58 |     823 | 2877.21  | 3028.64 | Bars       |           3.68 |          3.496  |
| Marney O'Breen      | USA         | 50% Dark Bites       | 2021-05-05 00:00:00.000 |          30 |     284 | 3976     | 2124.32 | Bites      |           7.48 |         14      |
| Kelci Walkden       | USA         | Choco Coated Almonds | 2021-04-22 00:00:00.000 |          29 |     149 |  692.552 |  494.68 | Bites      |           3.32 |          4.648  |
| Jan Morforth        | New Zealand | 50% Dark Bites       | 2021-06-21 00:00:00.000 |         175 |       4 |   56     |   29.92 | Bites      |           7.48 |         14      |
| Dennison Crosswaite | UK          | Drinking Coco        | 2021-03-24 00:00:00.000 |         142 |      49 |  647.79  |  487.06 | Other      |           9.94 |         13.2202 |
| Gigi Bohling        | New Zealand | White Choc           | 2021-04-21 00:00:00.000 |          85 |     190 | 1942.5   | 1221.7  | Other      |           6.43 |         10.2237 |
| Wilone O'Kielt      | UK          | Smooth Sliky Salty   | 2021-05-17 00:00:00.000 |         408 |     228 | 1019.43  |  629.28 | Bars       |           2.76 |          4.4712 |
| Husein Augar        | New Zealand | Raspberry Choco      | 2021-04-16 00:00:00.000 |          76 |      77 |  287.557 |  296.45 | Bars       |           3.85 |          3.7345 |
| Wilone O'Kielt      | USA         | Choco Coated Almonds | 2021-02-18 00:00:00.000 |         126 |     156 |  725.088 |  517.92 | Bites      |           3.32 |          4.648  |
| Andria Kimpton      | USA         | Almond Choco         | 2021-05-11 00:00:00.000 |          37 |       7 |   60.564 |   36.05 | Bars       |           5.15 |          8.652  |
| Barr Faughny        | USA         | 99% Dark & Pure      | 2021-01-21 00:00:00.000 |          96 |     184 | 1493.44  | 1422.32 | Bars       |           7.73 |          8.1165 |
| Karlen McCaffrey    | Australia   | Caramel Stuffed Bars | 2021-06-28 00:00:00.000 |          24 |     150 | 1466.82  | 1264.5  | Bars       |           8.43 |          9.7788 |
| Gunar Cockshoot     | USA         | Spicy Special Slims  | 2021-02-05 00:00:00.000 |         168 |      52 |  705.276 |  427.44 | Bites      |           8.22 |         13.563  |
| Dotty Strutley      | UK          | Milk Bars            | 2021-04-14 00:00:00.000 |         529 |     670 | 8643     | 3524.2  | Bars       |           5.26 |         12.9    |
| Kaine Padly         | India       | White Choc           | 2021-03-19 00:00:00.000 |          47 |     659 | 6737.42  | 4237.37 | Other      |           6.43 |         10.2237 |
| Oby Sorrel          | UK          | White Choc           | 2021-02-08 00:00:00.000 |         136 |     318 | 3251.14  | 2044.74 | Other      |           6.43 |         10.2237 |
| Madelene Upcott     | USA         | Milk Bars            | 2021-03-01 00:00:00.000 |         243 |     129 | 1664.1   |  678.54 | Bars       |           5.26 |         12.9    |
| Beverie Moffet      | India       | Caramel Stuffed Bars | 2021-05-25 00:00:00.000 |           9 |     267 | 2610.94  | 2250.81 | Bars       |           8.43 |          9.7788 |
| Beverie Moffet      | New Zealand | Choco Coated Almonds | 2021-01-13 00:00:00.000 |         350 |     726 | 3374.45  | 2410.32 | Bites      |           3.32 |          4.648  |
| Dennison Crosswaite | UK          | Fruit & Nut Bars     | 2021-01-25 00:00:00.000 |         212 |     410 | 3498.12  | 1943.4  | Bars       |           4.74 |          8.532  |
| Dennison Crosswaite | USA         | Peanut Butter Cubes  | 2021-02-25 00:00:00.000 |         403 |      25 |  115.275 |   66.25 | Bites      |           2.65 |          4.611  |
| Husein Augar        | Australia   | Choco Coated Almonds | 2021-04-28 00:00:00.000 |         337 |      23 |  106.904 |   76.36 | Bites      |           3.32 |          4.648  |
| Curtice Advani      | UK          | Drinking Coco        | 2021-04-05 00:00:00.000 |          89 |      74 |  978.295 |  735.56 | Other      |           9.94 |         13.2202 |
| Ches Bonnell        | Australia   | White Choc           | 2021-01-25 00:00:00.000 |         104 |     301 | 3077.33  | 1935.43 | Other      |           6.43 |         10.2237 |
| Curtice Advani      | Australia   | 70% Dark Bites       | 2021-03-08 00:00:00.000 |          29 |     557 | 3649.46  | 2807.28 | Bites      |           5.04 |          6.552  |
| Andria Kimpton      | UK          | 70% Dark Bites       | 2021-02-11 00:00:00.000 |          41 |     170 | 1113.84  |  856.8  | Bites      |           5.04 |          6.552  |
| Gunar Cockshoot     | New Zealand | Milk Bars            | 2021-06-16 00:00:00.000 |          26 |     237 | 3057.3   | 1246.62 | Bars       |           5.26 |         12.9    |
| Beverie Moffet      | New Zealand | Mint Chip Choco      | 2021-06-03 00:00:00.000 |         323 |      37 |  342.857 |  211.64 | Bars       |           5.72 |          9.2664 |
| Marney O'Breen      | India       | Smooth Sliky Salty   | 2021-01-25 00:00:00.000 |          30 |     305 | 1363.72  |  841.8  | Bars       |           2.76 |          4.4712 |
| Andria Kimpton      | UK          | 99% Dark & Pure      | 2021-04-28 00:00:00.000 |         423 |     638 | 5178.33  | 4931.74 | Bars       |           7.73 |          8.1165 |
| Dotty Strutley      | India       | 85% Dark Bars        | 2021-03-10 00:00:00.000 |          52 |      18 |  187.288 |  189.18 | Bars       |          10.51 |         10.4049 |
| Andria Kimpton      | Australia   | Organic Choco Syrup  | 2021-03-11 00:00:00.000 |           4 |     100 | 1081.41  |  957    | Other      |           9.57 |         10.8141 |
| Dennison Crosswaite | New Zealand | Fruit & Nut Bars     | 2021-01-20 00:00:00.000 |          64 |     151 | 1288.33  |  715.74 | Bars       |           4.74 |          8.532  |
| Curtice Advani      | New Zealand | Organic Choco Syrup  | 2021-01-01 00:00:00.000 |         117 |      31 |  335.237 |  296.67 | Other      |           9.57 |         10.8141 |
| Karlen McCaffrey    | India       | 85% Dark Bars        | 2021-01-07 00:00:00.000 |          10 |     217 | 2257.86  | 2280.67 | Bars       |          10.51 |         10.4049 |
| Brien Boise         | India       | 70% Dark Bites       | 2021-06-17 00:00:00.000 |         336 |     417 | 2732.18  | 2101.68 | Bites      |           5.04 |          6.552  |
| Beverie Moffet      | Australia   | Peanut Butter Cubes  | 2021-03-10 00:00:00.000 |         129 |      21 |   96.831 |   55.65 | Bites      |           2.65 |          4.611  |
| Dennison Crosswaite | Australia   | White Choc           | 2021-04-23 00:00:00.000 |          48 |      35 |  357.829 |  225.05 | Other      |           6.43 |         10.2237 |
| Kaine Padly         | India       | Milk Bars            | 2021-05-20 00:00:00.000 |         641 |     211 | 2721.9   | 1109.86 | Bars       |           5.26 |         12.9    |
| Andria Kimpton      | New Zealand | Raspberry Choco      | 2021-01-06 00:00:00.000 |         263 |     149 |  556.441 |  573.65 | Bars       |           3.85 |          3.7345 |
| Kaine Padly         | UK          | Raspberry Choco      | 2021-05-04 00:00:00.000 |         112 |     443 | 1654.38  | 1705.55 | Bars       |           3.85 |          3.7345 |
| Oby Sorrel          | New Zealand | Almond Choco         | 2021-05-26 00:00:00.000 |         409 |     281 | 2431.21  | 1447.15 | Bars       |           5.15 |          8.652  |
| Barr Faughny        | Australia   | 85% Dark Bars        | 2021-03-18 00:00:00.000 |          43 |      70 |  728.343 |  735.7  | Bars       |          10.51 |         10.4049 |
| Karlen McCaffrey    | New Zealand | Eclairs              | 2021-03-08 00:00:00.000 |          16 |     352 | 3265.05  | 2221.12 | Bites      |           6.31 |          9.2757 |
| Dotty Strutley      | USA         | Drinking Coco        | 2021-01-21 00:00:00.000 |         184 |     145 | 1916.93  | 1441.3  | Other      |           9.94 |         13.2202 |
| Kaine Padly         | India       | Mint Chip Choco      | 2021-05-17 00:00:00.000 |          29 |     328 | 3039.38  | 1876.16 | Bars       |           5.72 |          9.2664 |
| Madelene Upcott     | Australia   | Orange Choco         | 2021-01-25 00:00:00.000 |         205 |      10 |   34.96  |   36.8  | Bars       |           3.68 |          3.496  |
| Barr Faughny        | Australia   | Almond Choco         | 2021-01-18 00:00:00.000 |         237 |     408 | 3530.02  | 2101.2  | Bars       |           5.15 |          8.652  |



label: Product
Category
Product
Cost per box
Product
Price per box
output: {"Functional-Dependency": [["Product", "Category"], ["Product", "Cost per box"], ["Product", "Price per box"]]}
labeled_fds: Product
Category
Product
Cost per box
Product
Price per box
Sales
Sales Person
Sales
Geography
Sales
Product
Sales
Customers
Sales
Boxes
Sales
Cost
Sales
Category
Sales
Cost per box
Sales
Price per box
Cost
Sales Person
Cost
Geography
Cost
Product
Cost
Date
Cost
Boxes
Cost
Sales
Cost
Category
Cost
Cost per box
Cost
Price per box
source: $MMTU_HOME/resources/Relationship-finding/FD/823985918