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Qlt1

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Submitted By chinkee24m
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TASK V
Scenario :
A family is looking for the best option for moving the family’s belongings into a new home.
Moving company A charges its customers a flat rate per mile. Moving company B charges it customers a fixed amount for a certain number of miles and then a fixed rate per mile for any miles over the set amount. Determine which company would best serve the needs o the family.

A. Develop a story problem using the real-world scenario you have selected from the four provided above by doing the following:
1. Develop a cost comparison problem that can be solved according to the task instructions that follow by supplementing your chosen scenario with additional information.

A Family is moving from San Jose downtown to Tracy Downtown. The net distance from San Jose location to Tracy is 95 miles. Family has requested the moving quotes from two different Companies. Company A charges Flat $15 per mile and company B charges $800 for first 40 miles and then $10 per miles for remaining distance.

X = Distance from San Jose to Trace = 95 Miles
Company A charges flat $30 per mile.
Company A charges = Ra = 15(X) Company B charges = Rb = 800 + (X – 40) 10

2. Explain all needs (e.g., financial, non-financial, situational) of the hypothetical consumer.

Consumer needs:-

Financial
• Economical for entire cost of move
• Consumer wants insurance coverage on all moving items.
• Moving supplies should be provided by moving company.
• No extra charges if move require moving items from and to second floor. Non-financial
• Good reference from past customers utilized companies’ services.
• Company provides more man power during loading and un-loading. Situational
• Family wants to move on next week Friday afternoon.

3. Discuss two cost options that are being considered.
First cost option is flat rate which depends distance of move. Which indicate the cost is directly proportional to distance. Second cost option is also directly proportional to distance after first 40 miles. Company B Charges initial charge of 800 for first 40 miles.

B. Analyze the cost of each option algebraically by doing the following:
1. Develop an algebraic equation(s) with clearly defined variables to represent the cost of each option. X = Distance in Miles
Ra=Company A charge
Rb=Company B charge
Ra = 15(X)

Rb = 800 + (X – 40) 10

2. Explain the reasoning process used to translate the written description of each cost option into algebraic equations.

Company A charges (Ra) depends on distance(X). Company A charges flat rate $15 per mile. The charge will be multiple of distance(X) and flat per mile rate cost ($15).
Ra = 15(X)

Company B charges (Rb) depends on initial charge and distance(X -40). Company B charges initial charges for first 40 miles are $800. The charge will be sum of initial charges and the multiple of remaining distance (X -40) and rate for rest of distance per mile cost ($10).
Rb = 800 + (X – 40)10

3. Solve the system of equations algebraically to determine where the two cost options are equivalent, showing all work.
a. Explain each step used to solve the system of equations. Include the following in your explanation:
• All mathematical operations used to solve the system of equations
• The solution(s) of the system of equations in ordered-pair notation

X = Distance in Miles
Ra=Company A charge
Rb=Company B charge
Ra = 15(X)

Rb = 800 + (X – 40) 10

Two cost options are equivalent represent by Ra=Rb

Ra=Rb

15(X) = 800 + (X – 40) 10 15x =800+10(x) – 400 15x – 10x =800 – 400 5X = 400 X = 400/5 X = 80

Ra = 15(X) Ra = 15(80) Ra = 1200
(80,1200)

Rb = 800 + ( X – 40) 10 Rb = 800 + ( 80 – 40)10 Rb = 800 + 400 Rb = 1200
(80,1200)

Both cost option would be equivalent if distance(X) is 80 miles.

C. Depict the real-world problem on a single graph, within a spreadsheet application using integrated graphing tools (e.g., Microsoft Excel, OpenOffice Calc, LibreOffice Calc).
Include the following details in your graphical representation of the real-world problem:
• Label each axis of the coordinate plane with descriptive labels.
• Label all graphical solution(s) of the system of equations as “solution” and include the ordered pair.
• In a legend, indicate which cost option corresponds with each line.
• Save and submit your spreadsheet as an *.xls, *.xlsx, or *.ods file.
XLS file uploaded in TaskStream

D. Discuss a decision-making process that is based on both mathematical reasoning and non-financial, or situational, considerations. Your discussion should include the following:
• How financial information gleaned from your algebraic and graphical analyses can be used to determine the conditions for choosing cost option A over cost option B and vice versa
• How non-financial, or situational, considerations can impact the decision-making
Process

Algebraic and graphical analyses help determine the financially economical viable solution from two cost options. Consumer wants insurance coverage on all moving items. Insurance will protect customer against damages during move. The moving supply can cost consumer if that’s not provided by moving company. The moving company should not charge extra for moving items to higher floors. Both companies are in equivalent with above financial cost. The only remaining financial deciding factor is actual cost charge by moving company for move. The company B would be financially viable to move in given situation as move was greater than equivalent point 80 miles. The distance in given case is 95 miles.
Consumer should select company B for their move.

X=95
Ra = (15)X
Rb= 800 + ( X – 40) 10

Company A Charges
Ra = 15(X)
Ra = 15(95)
Ra=1425

Company B Charges
Rb = 800 + (X – 40) 10
Rb = 800 + (95 – 40)10
Rb = 800 + (55)10
Rb = 800 + 550
Rb = 1350

• How non-financial, or situational, considerations can impact the decision-making
Process

Non-financial
• Good reference from past customers utilized companies’ services.
• Company provides more man power during loading and un-loading. Situational
• Family wants to move on next week Friday afternoon.

Above non-financial and situational factors can impact the decision-making process. These factors can impact the selection of company. The good reference of companies give some comfort and confident to consumer to make decision. If company provides more man power during loading and un-loading items to truck, that will seed-up the processes and reduce the total move time.
The situational factor can make the big impact on decision-making. If company resources are not available to move on requested schedule time by consumer, than consumer have to search for moving company which can provide the services at consumer preferred schedule.

1. Discuss a final recommendation that states the option that most closely meets the consumer’s financial needs and non-financial considerations.

The Company B and Company B satisfy the consumer’s non-financial and situational consideration. The decision is finally depends on financial factor. The Company B is financially viable for consumer’s move.
Consumer should consider Company B for moving they items from San Jose downtown to Tracy downtown.…...

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