head 1.1; access; symbols; locks; strict; comment @# @; 1.1 date 2017.10.25.11.41.45; author root; state Exp; branches; next ; desc @This document (Choosing a Cost-effective plan using graph) is re-created by administrator on 17 June 2017 @ 1.1 log @Initial revision @ text @{ "_id": { "$oid": "59b665612c47962c1d002749" }, "_type": "GSystem", "access_policy": "PUBLIC", "altnames": "Choosing a Cost-effective plan using graph", "annotations": [], "attribute_set": [], "author_set": [ 1 ], "collection_set": [], "comment_enabled": null, "content": "

Using graph to find cost effective plan

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To make this task simpler we will plot the graph for each plan category wise; using the graph, we can easily choose the cost-effective plan for Tarun and Prachi.

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\r\nLets plot the graph for phone call category of Plan 1.\r\n

Plan 1

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CategoryCharges
Voice Call\u20b9 0.50/ minute
Messages\u20b9 1/ message
Data\u20b9 15/ 100 MB
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To plot the graph, we need to understand the relation between voice calls and charges per minute.

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In Plan 1, the charges for phone calls are \u20b9 0.50/ min; that is, for every minute of a call, the caller will pay \u20b9 0.50. We can make a table to see how to calculate the charges for a certain number of minutes.

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TimeCalculationCharges
1 min1 X 0.50\u20b9 0.50
10 min10 X 0.50\u20b9 5
50 min50 X 0.50\u20b9 25
P minP X 0.50\u20b9 0.5P
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If we say for x mins the charges are y then we can write the relation as, y = 0.5x,

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where x denotes the time in minutes and y denotes the total charges in Rupees. Now, on the x axis we take Time in minutes and on the y axis we take charges in Rupees.

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Points for plotting the graph of the equation y = 0.5x are

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x (Time in minutes)y(Charges in \u20b9 )
1010 X 0.50 = 5
2020 X 0.50 = 10
3030 X 0.50 = 15
4040 X 0.50 = 20
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\r\nGraph for the equation y = 0.5x is shown below. It is drawn using Geogebra.
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\r\n\"Graph_Plan1\"\r\n


\r\nTo get help for drawing graphs using Geogebra, refer to help pages.

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Here is the tariff plan used by Tarun and Prachi.

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\r\nOld Plan

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CategoryCharges
Voice Call\u20b9 1/ minute
Messages\u20b9 2/ message
Data (Internet)\u20b9 250/ 100 MB
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\r\nTo plot the graph, we need to understand the relation of voice calls and charges per minute.

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In the old plan, it is given that charges for phone call are \u20b9 1/ min, that is for every minute of a call. The caller will pay \u20b9 1.

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We can make a table for the old plan to see how much charges will be paid.

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(Same process need to be repeated as done for Plan 1)

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For the old plan, we can say y = x,

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where x denotes the time in minutes and y denotes the charges in Rupees.

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The comparison graph for Plan 1 and old plan used by Tarun and Prachi for voice call category is shown below.

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\r\n\"Comparison_Graph\"\r\n

The green line represents the graph for Plan 1, and the black line represents the graph for the old plan used by Tarun and Prachi.

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By looking at the this graph, we can say that the graph line for the old plan used by Tarun and Prachi is slightly higher than Plan 1.

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Also, the charges paid for voice calls as per the old plan used by Tarun and Prachi are more than that paid as per Plan 1. (How?)

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We can, therefore, conclude that if the graph line for a plan is higher than the graph line of another plan, then, the plan with the higher graph line is costlier than the one with a lower graph line.

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If we want to analyse the usage for a particular category of a plan across all the users, then we can do it using slider.

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To know more about this refer adding slider in the help page.

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\r\n ", "content_org": "There are hundreds of plans available in the market. Calculating usage charges for each plan categorywise is a bit time consuming task.
\r\nAlso if the number of user are more then we need to repeat the same calulation saveral times. 
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