Product Planning Decision

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Product Planning Decision
Glen L Urban
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When this is summed over a specified planning period (PP), and discounted at the firm's target rate of return on investment (RR), the discounted differential profit can be calculated. PP DP t=l Page 24 This differential profit function can be used as the objective function for the first stage maximization. The problem is to maximize the differential profit subject to the production, distribution, and financial constraints on the firm. As equations (1) to (14) indicate, the discounted differenti...al profit is a very complex function of many variables. It is dependent upon the demand and costs of each product in the line, which in turn are dependent upon the levels established for each of the variables in the marketing mix (P, A, CD, PS, Q) and the competitive environment. The function is further complicated since the levels of these variables may be changed in each time period and dynamic lagged effects may be produced. The first stage optimization attempts to locate the dynamic marketing program for the new product that produces the greatest discounted differential profit over a planning period while satisfying the financial, production, distribution, and managerial constraints in each time period.

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