Module_1_Assignment
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School
Mohi-ud-Din Islamic University, AJK *
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Course
130
Subject
Industrial Engineering
Date
Nov 24, 2024
Type
docx
Pages
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Uploaded by MasterYak1723
Module 1 Assignment
You have been asked to draft a report for customers who are having a tough
time deciding the best cell phone plan for their needs. This report will be used
as a reference guide for your employees that answer the phone and call
customers.
Plan A:
This plan allows for 450 minutes of talk time for $39.99. For each minute over 450 minutes,
there is a charge of $0.25. This plan would be best for someone who does not use their cell
phone very often.
450min. 39.99$, 0.25$/min.
When > 450 min.
y=39.99 when 0 ≤ x ≤ 450
y= 39.99+ (x-450) *0.25 when x > 450
Plan B:
This plan allows for 900 minutes of talk time for $59.99. For each minute over 900 minutes,
there is a charge of $0.30. This plan would be best for someone who uses their cell phone often,
but not excessively.
900min. 59.99$, 0.30$/min.
When x > 900min.
y=59.99 when 0 ≤ x ≤ 900
y= 59.99 + (x-900) *0.30 when x > 900
Plan C:
This plan allows for 1500 minutes of talk time for $99.99. For each minute over 1500 minutes,
there is a charge of $0.35. This plan would be best for someone who uses their cell phone very
often and for extended periods of time.
1500 min. 99.99$, 0.35$/min.
When x > 1500.
y=99.99 when 0 ≤ x ≤ 1500
y= 99.99 + (x-1500) *0.35 when x > 1500
Decide for how many minutes each plan is the best choice for two customers. Customer Smith uses
roughly 750 minutes per month. Customer Jones uses roughly 1350 minutes per month. Which plan
should they choose and why?
Smith -> 750min/month
If they choose Plan A =>
x > 450 so
y = 39.99+ (x-450) *0.25.
y = 39.99 + (750-450) *0.25.
y = 39.99 + 75; y = 114.99$
If they choose Plan B =
x < 900 so
y = 59.99$
Plan B is the best choice for Smith.
Jones => 1350min/month
If they choose Plan B =
x > 900 so
y= 59.99 + (1350-900) *0.30.
y= 59.99 + 135; y= 194.99$
If they choose Plan C =
x < 1500
y = 99.99$
Plan C is the best choice for Jones.
Smith's monthly use was recorded to be 750 minutes. For starters, I decided to figure
out how much Plan A would cost. Because the minutes exceeded 450, I added.25 for
each added minute, totaling 114.99$. However, because the value is less than 900,
plan
B
would only cost them $59.99 a month, making it the superior option.
In Jone’s situation, because they use 1350 minutes per month, I at once dismissed Plan
A. This is because Jones would be paying exorbitant costs because they will surpass the
450-minute minimum. The next choice was to consider Plan B, because 1350 minutes is
a close enough figure to 900 to potentially work. When I ran the numbers, it came out
that the total monthly cost would be $194.99, so I went on to plan C. Jones'
consumption was less than 1500 minutes per month; hence, the monthly cost was
$99.99. This implies that
Plan C
is the best choice.
#conlusions
In Smith's instance, Plan B is the best choice. Smith can obtain this plan for $59.99/month
because they use 750 minutes each month. They would spend 114.99$ per month if they chose
Plan A.
In Jone's instance, Plan C is the preferable choice. Jones can obtain this plan for $99.99 because
they use 1350 minutes every month. If they choose Plan B, they will pay $194.99 each month.
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