Advertisement

How much ad to do?

Assume

Gain from selling one more unit because of ad = P-MC

Gain from selling quantity q because of ad = $\Delta$Q(P-MC)

Gross Gain (multiplying both sides by P)

$$ P \Delta Q = \frac{P}{P-MC} \\ P \Delta Q = \frac{1}{1-\frac{MC}{P}} = |\epsilon| $$

Increase ad if $P \Delta Q > |\epsilon|$ (elasticity)

The correct decision is to increase advertising until the marginal revenue from an additional dollar of advertising, MR(Ads), just equals the full marginal cost of that advertising. That full marginal cost is the sum of the dollar spent directly on the advertising and the marginal production cost resulting from the increased sales that advertising brings about. Thus the firm should advertise up to the point that