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?