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1. A company produces widgets at a cost of $5 per unit and sells them
for $8 per unit. The fixed cost of production is $1000. How many
widgets must the company sell to break even?
a) 250
b) 500
c) 750
d) 1000
Answer: b) 500
Rationale: The break-even point is when the revenue equals the cost.
The revenue is 8x, where x is the number of widgets sold. The cost is
5x + 1000, where x is the same as before. To find the break-even point,
we set 8x = 5x + 1000 and solve for x. This gives x = 500.
2. A quadratic equation has the form ax^2 + bx + c = 0, where a, b and
c are constants. What is the value of the discriminant of the equation
2x^2 - 3x + 4 = 0?
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