Last active
June 16, 2025 14:53
-
-
Save MarieGutiz/555ea4e3c65995b90d22b0d9a34c0e36 to your computer and use it in GitHub Desktop.
EOQ.ipynb
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"authorship_tag": "ABX9TyOsvQEkFFq2L37Xh3cC5OIG", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/MarieGutiz/555ea4e3c65995b90d22b0d9a34c0e36/eoq.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"id": "GohELFDzLLA_" | |
}, | |
"outputs": [], | |
"source": [ | |
"import math\n", | |
"import matplotlib.pyplot as plt\n", | |
"'''\n", | |
"Economic Order Quantity\n", | |
"EOQ = sqrt((2*D*ct)/ce),\n", | |
"where ce = holding_cost * cost\n", | |
"\n", | |
"'''\n", | |
"# Constants\n", | |
"annual_demand = 34954\n", | |
"cost_per_bottle = 78\n", | |
"ordering_cost = 513\n", | |
"annual_holding_cost_rate = 0.14\n", | |
"extra_handling_cost_per_bottle = 0.34\n", | |
"holding_cost_per_bottle = annual_holding_cost_rate * cost_per_bottle" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"#Define total cost\n", | |
"\n", | |
"def total_cost(order_qtity):\n", | |
" if order_qtity <= 409:\n", | |
" total = ordering_cost + (order_qtity/2) * holding_cost_per_bottle\n", | |
" else:\n", | |
" total = ordering_cost + (order_qtity/2) * holding_cost_per_bottle + (order_qtity * extra_handling_cost_per_bottle)\n", | |
" return total\n", | |
"\n" | |
], | |
"metadata": { | |
"id": "h3C_LhH9MpA3" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Find optimal order quantity given by EOQ\n", | |
"def optimal_order_quantity():\n", | |
" optimal_qtity = math.sqrt(2* annual_demand * ordering_cost)/ (annual_holding_cost_rate * cost_per_bottle)\n", | |
" return round(optimal_qtity)" | |
], | |
"metadata": { | |
"id": "3eCI4agkPiAh" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Calculate optimal order quantity\n", | |
"optimal_quantity = optimal_order_quantity()\n", | |
"\n", | |
"# Calculate total cost for optimal quantity\n", | |
"total_cost_optimal = total_cost(optimal_quantity)\n", | |
"\n", | |
"print(\"Optimal Order Quantity:\", optimal_quantity)\n", | |
"print(\"Total Cost for Optimal Quantity:\", total_cost_optimal)\n", | |
"print(\"Qtity for 409 bottles \",total_cost(409))" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "9H6sTnwpRCXR", | |
"outputId": "c51206c8-773d-41e9-8264-1c95fc7ccf4f" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Optimal Order Quantity: 548\n", | |
"Total Cost for Optimal Quantity: 3691.4000000000005\n", | |
"Qtity for 409 bottles 2746.1400000000003\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Plotting the total cost against order quantities\n", | |
"order_quantities = range(1, 1000)\n", | |
"total_costs = [total_cost(q) for q in order_quantities]\n", | |
"\n", | |
"plt.figure(figsize=(10, 6))\n", | |
"plt.plot(order_quantities, total_costs, label='Total Cost')\n", | |
"plt.axvline(x=optimal_quantity, color='r', linestyle='--', label='Optimal Order Quantity')\n", | |
"plt.axvline(x=409, color='g', linestyle='--', label='Quantity for 409 bottles')\n", | |
"plt.xlabel('Order Quantity')\n", | |
"plt.ylabel('Total Cost')\n", | |
"plt.title('EOQ and Total Cost')\n", | |
"plt.legend()\n", | |
"plt.grid(True)\n", | |
"plt.show()\n" | |
], | |
"metadata": { | |
"id": "9te0mUmESHna", | |
"outputId": "4e90123c-1dda-4dfb-f438-4d034a32dd50", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 564 | |
} | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 1000x600 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [], | |
"metadata": { | |
"id": "Pziu7K89SIcI" | |
}, | |
"execution_count": null, | |
"outputs": [] | |
} | |
] | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment