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.

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camieleycIzo camieleycIzo

04-11-2016
Mathematics

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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.

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Anonymous Anonymous · Answer 1 · 2016-11-09T08:12:21-05:00

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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