SOLUTION: A textbook publisher plans to market a new algebra textbook. The fixed costs associated with the text's publication are $270,000, and the variable costs are $38 per textbook. The

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Question 163124: A textbook publisher plans to market a new algebra textbook. The fixed costs associated with the text's publication are $270,000, and the variable costs are $38 per textbook. The text will be sold to retailers for $90. How many texts must be sold for the publisher to show a profit? Round to the nearest whole number.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
270,000+38X<90X
38X-90X<-270,000
-52X<-270,000
X>-270,000/-52 DIVIDING BY A NEGATIVE VALUE CHANGES THE < SIGN TO A > SIGN.
X>5,192.3 IS THE NUMER OF THAT MUST BE SOLD.
PROOF:
LET X=5,193
270,000+38*5,193<90*5,193
270,000+197,334<467,370
467,334<467,370