A manufacturing company produces four types of products: Product A$,$ Product B$,$ Product C$,$ and Product D$.$ Each product contributes differently to the company's profit margin. However, the production process for each product requires labor and materials, both of which are limited resources for the company.The company has a total of $600$ hours of labor available and $700$ units of material available for production. Here are the details of each product:Product A: Profit $$15$ per unit, labor requirement $2$ hours per unit, material requirement $3$ units per unit.Product B: Profit $$20$ per unit, labor requirement $3$ hours per unit, material requirement $2$ units per unit. However, due to market demand, the company can sell at most $200$ units of Product B$.$Product C: Profit $$25$ per unit, labor requirement $4$ hours per unit, material requirement $3$ units per unit. However, due to market demand, the company must make at least $10$ units of Product C$.$Product D: Profit $$30$ per unit, labor requirement $5$ hours per unit, material requirement $2$ units per unit. However, due to market demand, the company must make at least $15$ units of Product D$.$a$)$Formulate this production planning problem as a linear programming Model. In the report, you must clearly identify and mention the decision varaibles, objective function and objective function coeffients in the formulated LP Model.b$)$Solve the model with Solver.c$)$Conduct sensitivity analysis for this problem

I want the LP model using excel MS

and part c is important too