The contribution marginal percentage for a firm is .4, or 40%, and its advertising elasticity of demand is 0.2.
3a Determine the firm’s optimal advertising-to-sales ratio.
3b If the firm’s revenues are $40,000, what is the profit maximizing level of advertising?
3(a)
Formula:
Optimal advertising to sales ratio = Advertising elasticity/ Price elasticity
Price elasticity = 1/(contribution margin ratio)
=> Price elasticity = 1/0.4 = 2.5
It is given that advertising elasticity of demand is 0.2.
Hence, Optimal advertising to sales ratio = Advertising elasticity/ Price elasticity = 0.2/2.5 = 0.08.
Hence, Optimal advertising to sales ratio = 0.08
3(b)
Advertising/ Sales = 0.08 (Calculated above) and Sales = Revenue
= $40,000
=> Advertising = 0.08*40,000
= 3200
Hence, the profit maximizing level of advertising = $3200
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