Sliding Scale Revenue Split
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We have a product that we sell for the prices between $15,000$ and $30,000$ depending on various options and services. There is a company that wants to resell our product, and I'm keen to give them an incentive to sell more valuable packages. We have agreed a revenue split that is given below.
- for a $15000$ product the reseller can add $4500$ on top ($30$%) for a total end price of $19500$
- for a $30000$ product the reseller can add $12000$ on top ($40$%) for a total end price of $42000$
there should be a sliding scale between $30$% and $40$% depending on either the value of the product from us or the end price to the customer.
I'd like to be able to describe this mathematically so that I can code a little calculator for them but I'm really struggling to find an approach.
Ta, Andrew
algebra-precalculus
edited Aug 9 at 21:01
Math Lover
12.5k21232
asked Aug 9 at 20:23
Andrew Holway
82
add a comment |Â
up vote
1
down vote
favorite
We have a product that we sell for the prices between $15,000$ and $30,000$ depending on various options and services. There is a company that wants to resell our product, and I'm keen to give them an incentive to sell more valuable packages. We have agreed a revenue split that is given below.
- for a $15000$ product the reseller can add $4500$ on top ($30$%) for a total end price of $19500$
- for a $30000$ product the reseller can add $12000$ on top ($40$%) for a total end price of $42000$
there should be a sliding scale between $30$% and $40$% depending on either the value of the product from us or the end price to the customer.
I'd like to be able to describe this mathematically so that I can code a little calculator for them but I'm really struggling to find an approach.
Ta, Andrew
algebra-precalculus
edited Aug 9 at 21:01
Math Lover
12.5k21232
asked Aug 9 at 20:23
Andrew Holway
82
Are you envisioning a linear relationship between the original price and the percent added?
– Robert Howard
Aug 9 at 20:30
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
We have a product that we sell for the prices between $15,000$ and $30,000$ depending on various options and services. There is a company that wants to resell our product, and I'm keen to give them an incentive to sell more valuable packages. We have agreed a revenue split that is given below.
- for a $15000$ product the reseller can add $4500$ on top ($30$%) for a total end price of $19500$
- for a $30000$ product the reseller can add $12000$ on top ($40$%) for a total end price of $42000$
there should be a sliding scale between $30$% and $40$% depending on either the value of the product from us or the end price to the customer.
I'd like to be able to describe this mathematically so that I can code a little calculator for them but I'm really struggling to find an approach.
Ta, Andrew
algebra-precalculus
edited Aug 9 at 21:01
Math Lover
12.5k21232
asked Aug 9 at 20:23
Andrew Holway
82
We have a product that we sell for the prices between $15,000$ and $30,000$ depending on various options and services. There is a company that wants to resell our product, and I'm keen to give them an incentive to sell more valuable packages. We have agreed a revenue split that is given below.
- for a $15000$ product the reseller can add $4500$ on top ($30$%) for a total end price of $19500$
- for a $30000$ product the reseller can add $12000$ on top ($40$%) for a total end price of $42000$
there should be a sliding scale between $30$% and $40$% depending on either the value of the product from us or the end price to the customer.
I'd like to be able to describe this mathematically so that I can code a little calculator for them but I'm really struggling to find an approach.
Ta, Andrew
algebra-precalculus
edited Aug 9 at 21:01
Math Lover
12.5k21232
asked Aug 9 at 20:23
Andrew Holway
82
edited Aug 9 at 21:01
Math Lover
12.5k21232
edited Aug 9 at 21:01
Math Lover
12.5k21232
edited Aug 9 at 21:01
Math Lover
12.5k21232
12.5k21232
asked Aug 9 at 20:23
Andrew Holway
82
asked Aug 9 at 20:23
Andrew Holway
82
asked Aug 9 at 20:23
Andrew Holway
82
82
Are you envisioning a linear relationship between the original price and the percent added?
– Robert Howard
Aug 9 at 20:30
add a comment |Â
Are you envisioning a linear relationship between the original price and the percent added?
– Robert Howard
Aug 9 at 20:30
Are you envisioning a linear relationship between the original price and the percent added?
– Robert Howard
Aug 9 at 20:30
Are you envisioning a linear relationship between the original price and the percent added?
– Robert Howard
Aug 9 at 20:30
add a comment |Â
1 Answer
1
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oldest
votes
up vote
0
down vote
accepted
One way to solve your problem is to use linear interpolation. For your problem, we have $$fracy-30x-15000=frac40-3030000-15000 implies y = fracx1500+20.$$
Here, $x$ is the product price (e.g. $x=15000,20000,25000$ etc.), and $y$ is the profit percentage.
answered Aug 9 at 20:32
Math Lover
12.5k21232
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
One way to solve your problem is to use linear interpolation. For your problem, we have $$fracy-30x-15000=frac40-3030000-15000 implies y = fracx1500+20.$$
Here, $x$ is the product price (e.g. $x=15000,20000,25000$ etc.), and $y$ is the profit percentage.
answered Aug 9 at 20:32
Math Lover
12.5k21232
add a comment |Â
up vote
0
down vote
accepted
One way to solve your problem is to use linear interpolation. For your problem, we have $$fracy-30x-15000=frac40-3030000-15000 implies y = fracx1500+20.$$
Here, $x$ is the product price (e.g. $x=15000,20000,25000$ etc.), and $y$ is the profit percentage.
answered Aug 9 at 20:32
Math Lover
12.5k21232
add a comment |Â
up vote
0
down vote
accepted
up vote
0
down vote
accepted
One way to solve your problem is to use linear interpolation. For your problem, we have $$fracy-30x-15000=frac40-3030000-15000 implies y = fracx1500+20.$$
Here, $x$ is the product price (e.g. $x=15000,20000,25000$ etc.), and $y$ is the profit percentage.
answered Aug 9 at 20:32
Math Lover
12.5k21232
One way to solve your problem is to use linear interpolation. For your problem, we have $$fracy-30x-15000=frac40-3030000-15000 implies y = fracx1500+20.$$
Here, $x$ is the product price (e.g. $x=15000,20000,25000$ etc.), and $y$ is the profit percentage.
answered Aug 9 at 20:32
Math Lover
12.5k21232
answered Aug 9 at 20:32
Math Lover
12.5k21232
answered Aug 9 at 20:32
Math Lover
12.5k21232
answered Aug 9 at 20:32
Math Lover
12.5k21232
12.5k21232
add a comment |Â
add a comment |Â
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Are you envisioning a linear relationship between the original price and the percent added?
– Robert Howard
Aug 9 at 20:30