SOLUTION: Dan's Mobile Window Tinting tints car windows. Dan has determined his company's weekly revenue and cost functions as follows: R(w) = 37w + 8 C(w) = 27w + 688 where R(w) repr

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Question 1018522: Dan's Mobile Window Tinting tints car windows. Dan has determined his company's weekly revenue and cost functions as follows:
R(w) = 37w + 8
C(w) = 27w + 688
where R(w) represents the weekly revenue in dollars from tinting w windows and C(w) represents the weekly cost in dollars to tint w windows. Find the number of windows Dan must tint each week to break even or make a profit.
Dan must tint at least ______ windows to break even or make a profit.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Dan's Mobile Window Tinting tints car windows.
Dan has determined his company's weekly revenue and cost functions as follows:
R(w) = 37w + 8
C(w) = 27w + 688
where R(w) represents the weekly revenue in dollars from tinting w windows and C(w) represents the weekly cost in dollars to tint w windows.
Find the number of windows Dan must tint each week to break even or make a profit.
Dan must tint at least ______ windows to break even or make a profit.
:
Break even point is when revenue = cost; R(w) = C(w); therfore
37w + 8 = 27w + 688
37w - 27w = 688 - 8
10w = 680
w = 680/10
w = 68 windows required to break even
;
:
see if this is true, find the actual $$ for each, should be equal
R(w) = 37(68) + 8
R(w) = 2516 + 8
R(w) = 2524
:
C(w) = 27(68) + 688
C(w) = 1836 = 688
C(w) = 2524

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