Math problem i need help with: "Diane works at future shop...."

[Shar123]

Diane works at future shop and earns $275 per week plus 2.5% commision on her sales. Her boss offers her a new deal for her weekly salary- 150$ per week plus 4% on sales l. Should she take the new offer? Solve using substituion and graphically

Thanks

 

[Deleted member 4993]

Diane works at future shop and earns $275 per week plus 2.5% commision on her sales. Her boss offers her a new deal for her weekly salary- 150$ per week plus 4% on sales l. Should she take the new offer? Solve using substituion and graphically

Thanks

We are here to help you. But you have to let us know where you are regarding this problem!

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[Shar123]

We are here to help you. But you have to let us know where you are regarding this problem!

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33

I dont know how to get started

 

[stapel]

Diane works at future shop and earns $275 per week plus 2.5% commision on her sales. Her boss offers her a new deal for her weekly salary- 150$ per week plus 4% on sales l. Should she take the new offer? Solve using substituion and graphically

I dont know how to get started

You've posted this to "Calculus", so you've finished algebra and pre-calc. Try starting with what you learned back in those classes. If her sales are "s", then what expression stands for the commission she'll earn on those sales under the current program? (here) Then what expression stands for her total income under the current program? What other expression stands for her total income under the proposed program?

If you replace "s" with "x" and name the two programs as "y₁" and "y₂", what graphs do you get? (here) What can you conclude from this?

Please reply showing all of your work so far. When you reply, please explain how you believe you are supposed to apply the techniques of calculus to what otherwise looks like a beginning-algebra exercise. Thank you!

 

[Steven G]

Diane works at future shop and earns $275 per week plus 2.5% commision on her sales. Her boss offers her a new deal for her weekly salary- 150$ per week plus 4% on sales l. Should she take the new offer? Solve using substituion and graphically

Thanks

There is something missing in this problem. For example if Diane makes no sales, then she should take the deal with $275. On the other hand if her sales are going to be at least $1,000,000 then she should take the deal with the higher commission rate. There is a point where it is better to take one deal over the other. This is what you need to find--the sales that yield the same salary for Diane regardless of which option she chooses.