SOLUTION: In order for a company to realize a profit in the manufacture and sale of a certain item, the revenue, R, for selling X items must be greater than the cost, C, of producing x items

Question 258835: In order for a company to realize a profit in the manufacture and sale of a certain item, the revenue, R, for selling X items must be greater than the cost, C, of producing x items. If R=79.99x and C=61x+1050, for what values of x will this product return profit?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In order for a company to realize a profit in the manufacture and sale of a certain item, the revenue, R, for selling X items must be greater than the cost, C, of producing x items.
If R=79.99x and C=61x+1050, for what values of x will this product return profit?
:
Profit occurs when Revenue is greater than Cost; R > C
79.99x > 61x + 1050
:
79.99 - 61x > 1050
:
18.99x > 1050
x >
x > 55.3
We can say it returns a profit when 56 or more items are sold
;
:
Check this when x = 56
79.99(56) = 4,479.44
61(56) + 1050 = 4,466.00
----------------------------
a profit of $13.44
however,
when x = 55 items sold
79.99(55) = 4399.45
61(55) + 1050 = 4405
--------------------
a loss of $5.55
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