$1.$ Develop a linear programming model that can be used to determine the advertising budget allocation for the Alamo Grill.$$

$2.$ Please provide a written LP model showing:

$-$the decision variables

$-$ objective function

$-$ The constraints

$3.$ Then, build the model in Excel solver to obtain the optimal solution.

$4.$ Provide a schedule showing the recommended number of television, radio, and online advertisements and the budget allocation for each medium. Show the total exposure and indicate the total number of potential new customers reached.

Please provide as much detail as possible, especially regarding solving in excel and the constraints needed.