In the world of commerce and industry, every business outfit seeks to maximize its profit. The optimal values of sales mark-up price and service charge sustain this objective. This is true since some firms could sell their products for cash or for no money down with cost spread over some period of equal payments. Thus, the firm's income comes from sales and the service charges collected on time payment accounts. In most cases, based on each firm's experience, sales marked-up price and service charge were randomly fixed. In this paper, I present a mathematical model for optimizing sales mark-up price and service charge in a profit-maximizing firm. Testing the model on real life problems confirms that the model is accurate. The numerical results show that the model is amenable to financial analysis and computer automation.
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