MATH SOLVE

8 months ago

Q:
# Edurado started a business selling sporting goods.He spent $ 7500 to obtain hos merchandise , and it cost him $300 per week for general expenses.He earns $850 per week in sales. What is the minimum number of weeks Edurado will take to make a profit?

Accepted Solution

A:

Answer:C) It will take 14 weeks for Edurado to make a profit.Step-by-step explanation:The money spent on obtaining the merchandise = $ 7500The general expense per week = $300Let us assume Eduardo has to work for N weeks to break Even.So, the general expense in N weeks = N x( Expense per week) = N x ( $300) = 300 NSo, the total expense in N weeks = Money spent on merchandise + general expenseor, the TOTAL EXPENSE = $ 7500 + 300 N .... (1)Now, the earning per week = $850So, the total earning in N weeks = N x ( Earning in 1 week) = N x ( $850)or, the TOTAL EARNING = 850 N .... (2)Now, for N weeks , TOTAL EXPENSE = TOTAL EARNING ⇒ $7500 + 300 N = 850 Nor, 7500 = 850 N - 300 N = 550 N⇒ N = 7500/550 = 13.63So, number of weeks should at least be 13.63Among the given options, N = 14 weeks is the most feasible answer.Hence, it will take 14 weeks for Edurado to make a profit.