Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE PS
Solution:
We know the relationship between profit, revenue and cost is: profit = revenue – cost or P = R – C (the relationship is actually given here). We want to find the profit of producing and selling 20,000 tools. Since each tool is sold for $8, the revenue is:
R = 20,000($8) = $160,000
Since each tool costs $3 to make and there is an fixed cost of $10,000, the cost is:
C = 20,000($3) + $10,000 = $60,000 + $10,000 = $70,000
Therefore, the profit of producing and selling 20,000 tools is:
P = R – C
P = $160,000 – $70,000
P = $90,000
$90,000 is the total profit of 20,000 tools, so the profit per tool is:
$90,000/20,000 = $9/2 = $4.50
Answer: C