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Kazeer [188]
2 years ago
12

A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some a

re retail stores. A club costs a one time club fee of $20 and a cost of $15 per week. A retail store costs no club fee and a cost of $17.50 per week. After how many weeks will the cost of the club and the retail be the same?
Mathematics
1 answer:
Hoochie [10]2 years ago
3 0

Answer:

The indifference point is 8 weeks.

Step-by-step explanation:

<u>First, we establish the total cost formula for each:</u>

x= number of weeks

Club:

Total cost= 20 + 15*x

Retail:

Total cost= 17.5*x

<u>Now, we equal both formulas and isolate x:</u>

20 + 15x = 17.5x

20 = 2.5x

8=x

The indifference point is 8 weeks.

<u>Prove:</u>

Total cost= 20 + 15*8= $140

Total cost= 17.5*8= $140

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