a. (10 points) Formulate the goal programming model in mathematic form. b. (10 points) Solve the model formulated in part (a)on a spreadsheet, provide a screenshot of your model. c. (5 points) Interpret this solution to management in its language. d. (5 points) Look at the sensitivity report, if the penalty for not meeting product 1's market share goal is doubled from its current value, without resolving the model, can you tell whether the optimal production plan you obtained in part (b) will change? Why or why not? Explain. e. (5 points) Look at the sensitivity report, please explain the meaning of the shadow price associated with the constraint \"A total of $55 million is available for the three advertising campaigns\" in the problem context