Question

Cypress Middle School wants to have a fundraiser to buy art supplies. Fundraiser A will give the school $1.50 for each order places plus $75 as a bonus. Fundraiser B will give the school $3.00 for each order placed, but no bonus. How many orders must be placed in order for the total amount of money earned by each fundraiser to be the same?

150

Answer 1

The indifference point is 50 orders.

Explanation:

Giving the following information:

Fundraiser A:

$1.50 for each order places plus $75 as a bonus.

Fundraiser B:

$3.00 for each order placed.

First, we need to structure the fundraisers' formula:

Fundraiser A= 75 + 1.5x

Fundraiser B= 3x

x= number of orders

Now, we equal both formulas and isolate x:

75 + 1.5x = 3x

75/1.5= x

50= x

The indifference point is 50 orders.

Prove:

Fundraiser A= 75 + 1.5*50= $150

Fundraiser B= 3*50= $150