Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for

Question

3 years ago

9

Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for

general expenses. He earned $850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit? Write an inequality to model the problem.

Mathematics

1 answer:

Svet_ta [14] · Answer 1 · 2022-02-28T11:50:04+03:00

Total Revenue is equal to 850 * weeks.
Total Cost is equal to the sum of Total Fixed Cost and Total Variable Cost. The Total Fixed Cost is equal to 7500 and the Total Variable Cost is equal to 300 * weeks.

For him to earn he should have a positive profit.
Profit = Total Revenue - Total Cost >= 0Profit = 850 * weeks - (7500 + 300 * weeks) >= 0850 * weeks - 7500 - 300 * weeks >= 0550 * weeks - 7500 >= 0 (Model)
The minimum number of weeks can be solved by considering the break-event point (i.e. zero profit).550 * weeks - 7500 = 0

weeks = 14.

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