Please solve in Excel and show HOW and WHICH formulas were inputted. If it is not shown in Excel a thumbs down will be given.

Multi-product Production Planning. Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1,$28 for product 2 , and $30 for product 3 . a. Formulate a linear programming model for maximizing total profit contribution. b. Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution? c. After evaluating the solution obtained in part (b), one of the production supervisors noted that production setup costs had not been taken into account. She noted that setup costs are $400 for product 1,$550 for product 2 , and $600 for product 3 . If the solution developed in part (b) is to be used, what is the total profit contribution after taking into account the setup costs