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I have a dataset from business where the variables include investment across diferent channels and independent variable is the sales.

I have developed a marketing mix model using linear regression to study the coefficients of each of these investment channels.

Next problem is to come up with an optimised distribution of marketing budget across channels given the total amount to br spend with an objective to maximise sales. The data is weekly spend and sales data for 2 years.

Can someone please suggest best approach to deal with this problem.

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