AlgebraVery hardLeast sales to reach a profit target
Algebra practice question
A company earns 4 dollars for each item it sells and has fixed costs of 1,250 dollars per week. What is the least number of items it must sell in a week for its weekly profit to be at least 2,000 dollars?
Answer: 813
4n − 1250 ≥ 2000 gives n ≥ 812.5, so the least whole number is 813.
Common wrong answers
- If you answered 500
- 500 ignores the fixed costs.
- If you answered 812
- 812 rounds down, giving a profit of 1,998 dollars.
- If you answered 312.5
- 312.5 divides 1,250 by 4.
More Algebra questions
- Very hard
For what value of c does the system 3x − 2y = 8 and 9x + cy = 5 have no solution? - Very hard
In the system 5x + 4y = 32 and 3x − 2y = 6, what is the value of 8x + 2y? - Very hard
The solution set of the inequality |ax − b| ≤ 6, where a and b are constants and a > 0, is 3 ≤ x ≤ 9. What is … - Very hard
The function f is linear, and for every value of x, f(x + 2) − f(x) = 6. If f(5) = 4, what is the value of f(0… - Very hard
In the system of equations 2x + 3y = 12 and 5x − 2y = k, where k is a constant, the solution (x, y) satisfies … - Very hard
In the xy-plane, the system of equations kx + 6y = 12 and 2x + (k − 1)y = 6, where k is a constant, has infini…
Not affiliated with the College Board. SAT is a trademark of the College Board.