title: Pricing Analytics in R , maximization of demand at an optimum price point
body: <p>Hi I have similar problem here. I am trying to maximize sales to find an optimum price. I have fit a linear regression assuming a linear relation ship between price and quantity and other variables (Including Dummy variablles) impacting quantity. I am taking the regression function as an objective function which includes price as Independent and quantity as dependent.My prroblem is in lp solver my objective function becomes a linear regression equation (y(Quantity)=-0.02x (Price) + Constant (Constant after taking the scenario  and intercept).</p>
  
  <p>Can you help me how can I optimize above type of function ?</p>
  
  <p>I have been struggling to identify the point of change in price which maximizes quantity.I have tried manually putting Drops and Ups in price and arrived at overall impact but I want to avoid manual intervention here and therefore thinking if lp solver would help me.</p>
  
  <p>Thanks,
  Avani</p>