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Compare two job offers











































How would I show my work on this question?

You have two job offers on the table.

The first job you will earn a weekly salary of $14 per hour.

The second job offers you $7 per hour plus 30% commission.

Explain how you would compare the potential income you could receive from each job.

What would be the deciding factor?

Comments for Compare two job offers

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Aug 26, 2013
Show my work
by: Staff


Answer


Part I

The first job offer guarantees you $14 for each hour you work.

h = hours worked

S₁ = salary at $14 per hour

S₁ = 14 * h

S₁ = 14h


The first job offer guarantees you $14 for each hour you work.





The second job offer guarantees you $7 for each hour you work plus a 30% sales commission. Your final income depends on your sales ability.

S₂ = salary at $7 per hour with a 30% sales commission

S₂ = 7 * h + 30% * Sales * h

S₂ = 7h + 0.3 * Sales * h



The second job offer guarantees you:

     $7 for each hour you work. 

     30% sales commission.




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Aug 26, 2013
Show my work
by: Staff


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Part II

Breakeven Sales. If you worked the same number of hours on each job, how much merchandise must you sell per hour (using the 2nd job pay schedule) so that your income is the same in both cases?

S₁ = S₂

14h = 7h + 0.3 * Sales * h

solve for sales

14h / h = (7h + 0.3 * Sales * h) / h

14 = 7 + 0.3 * Sales

14 - 7 = 7 + 0.3 * Sales - 7

14 - 7 = 7 - 7 + 0.3 * Sales

7 = 0 + 0.3 * Sales

7 = 0.3 * Sales

7 / 0.3 = (0.3 * Sales ) / 0.3

23.33 = Sales

Sales (per hour) = $23.33


 Breakeven commission sales - explanation.





Write the following equation:

 salary from the lst job offer equals the salary from the 2nd job offer:

          14h = 7h + 0.3 * Sales * h

Solve for Sales






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Aug 26, 2013
Show my work
by: Staff


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Part III


 Subtract 7 from each side of the equation

Group like terms  

Combine like terms




Divide each side of the equation by 0.3




Explain how you would compare the potential income of each job.

If you sell exactly $23.33 worth of merchandise each hour, the income from both job 1 and job 2 are the same.

If you sell more than $23.33 worth of merchandise each hour, the income from both job 2 will be higher than the income from job 1.

If you sell less than $23.33 worth of merchandise each hour, the income from both job 1 will be higher than the income from job 2.





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Aug 26, 2013
Show my work
by: Staff


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Part IV


The income from Job 1 and the income from Job 2 are equal




The income from Job 2 is higher than the income from Job 1




The income from Job 1 is higher than the income from Job 2





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Aug 26, 2013
Show my work
by: Staff


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Part V


What would be the deciding factor based on potential income alone?

Do you believe you can sell an average of $23.33 worth of merchandise or more each hour?

If you think you can, take the 2nd job offer. The income you can earn from the 2nd job can be much higher than the income from the 1st job.

If you don't think you can sell an average of $23.33 worth of merchandise each hour, take the 1st job offer. The income is fixed, and does not depend on your sales ability.







Thanks for writing.

Staff
www.solving-math-problems.com


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