Manzeck Bicycles International produces and sells three different types of mountain bikes. Information regarding the three models is shown below.

Pro

Intermediate

Standard

Total

Units sold

5,000

10,000

25,000

40,000

Selling price

$800

$500

$350

Variable cost

$500

$300

$250

The company’s total fixed costs to produce the bicycles are $7,500,000.

(a) Determine the sales mix as a function of units sold for the three products.

(b) Determine the weighted average unit contribution margin.

(c) Determine the total number of units that the company must produce to break even.

(d) Determine the number of units of each model that the company must produce to break even.