The DTP Corporation has two major products. Marketing analysts have conducted experiments to gather data on the effect of media advertising on profits. These data are available in the Excel file DTP Corporation. Suppose that the total advertising budget is $500,000 and that at least $50,000 must be spent on each product. Use the Add Trendline feature in Excel to fit logarithmic functions for profit as a function of advertising for each product. Then formulate and solve a nonlinear optimization model to determine how the company should allocate its advertising budget between the two products.