## Basic Quantitative Analysis for Marketing

Simple calculations often help in making quality marketing decisions. One of the most useful quantities is calculating break-even volumes, i.e., the quantity of units which must be sold to recover an initial investment. With this number we can then ask how long will it take to sell this many units and is it reasonable to assume that the market overall is big enough to support this volume. When sales exceed the break-even volume, the firm starts making a profit.

__Unit Price__ (**P**) = price of one unit

__Variable cost__ (**K**) = cost uniquely associated with each unit produced (example, Microprocessor on a PC mother board)

__Fixed cost__ (**FC**) = cost which are fixed and do not vary with the volume of output (example, a new IC fab plant)

__Contribution__ (**C**) = the difference between the price (P) of one unit - Variable cost per unit (K) **C=P-K**

__Volume__ (**V**) = quantity of units produced

__Break-even volume__ (**BEV**) = $ Fixed Cost **FC/C** ($ contribution per unit)

### Example

Intel Itanium chip has a unit sale price of $250. Variable manufacturing cost is $15. Cumulative investment by Intel to develop the Itanium and convert over a fab facility is $1B

__Unit Price__ (**P**) = $250

__Variable cost__ (**K**) = $15

__Fixed cost__ (**FC**) = $1B

__Contribution__ (**C**) = $250 - $15 = $235/unit

__Break-even volume__ (**BEV**) = = $1B / $235= 4,255,319 units = 4.3M units

### Analysis

- Is it reasonable to assume that the market overall for the Itanium is big enough to support this
**break-even volume**, i.e., the quantity of units which must be sold to recover an initial investment.
- How long will it take Intel to sell this many units and start making a profit?