Bunuel
A magazine costs $1.00 per copy to produce. If $20,000 was taken in for advertising in the magazine, how many copies at 75 cents per copy must be sold to make a profit of exactly $10,000?
(A) 10,000
(B) 20,000
(C) 25,000
(D) 35,000
(E) 40,000
I think
pushpitkc 's solution might be better, but if you can't "see" the equation, work backwards. The magazine has collected $20,000 for advertising. Call that "cost offset."
Start with C) 25,000 copies
Cost to produce: (25,000 * $1) = $25,000
Cost offset: -$20,000
TOTAL COST: ($25,000 - $20,000) = $5,000
TOTAL REVENUE: (25,000 * $0.75) = $18,750
PROFIT =(TR-TC) = ($18,750 - $5,000) = $13,750
Too high. We have too FEW copies.
Why? Cost to produce ($1) is
higher than sell price ($0.75). (The $20K offset makes this possible.)
To
decrease profit (from $13,750 to $10,000), we must
increase costs.
That can be done only by producing more copies. Eliminate A and B.
Try Answer E because it is "rounder" than D.
40,000 copies?
Cost to produce: (40,000 * $1) = $40,000
Cost offset: $20,000
TOTAL COST:($40,000 - $20,000) = $20,000
TOTAL REVENUE: (40,000 * $0.75) = $30,000
PROFIT =(TR-TC) = ($30,000 - $20,000) = $10,000
That's a match.
Answer E