I want to solve this exercise ASAP:

Operations Research - Exercise Sheet 1 Linear Programming - Modelling and Graphical Solutions Exercise 1 A coffee roaster produces two types of products: Espresso Forte (F) and Espresso Normalo (N). In the roasting, drying and packaging departments, the products require the following production times per carton. Furthermore, the total capacities in the departments are also limited. For Forte 250 net sales per carton can be achieved, for Normalo 350. The variable costs are 150 per carton. (i) Which quantities should the coffee roaster produce to maximize their gross margin? Formulate the problem as LP. Use xF for the production quantities of Forte and xN for Normalo. (ii) Solve the LP model graphically. Use the horizontal axis for Forte. Name all lines and axes and highlight the solution space. Indicate the optimal solution and the associated gross margin. (iii) Would it have an impact if retailer demand to produce always more than 50 boxes of Forte? Add this condition to the graphic of (ii) and use it to explain how the solution would change. Operations Research - Exercise Sheet 1 Linear Programming - Modelling and Graphical Solutions Exercise 1 A coffee roaster produces two types of products: Espresso Forte (F) and Espresso Normalo (N). In the roasting, drying and packaging departments, the products require the following production times per carton. Furthermore, the total capacities in the departments are also limited. For Forte 250 net sales per carton can be achieved, for Normalo 350. The variable costs are 150 per carton. (i) Which quantities should the coffee roaster produce to maximize their gross margin? Formulate the problem as LP. Use xF for the production quantities of Forte and xN for Normalo. (ii) Solve the LP model graphically. Use the horizontal axis for Forte. Name all lines and axes and highlight the solution space. Indicate the optimal solution and the associated gross margin. (iii) Would it have an impact if retailer demand to produce always more than 50 boxes of Forte? Add this condition to the graphic of (ii) and use it to explain how the solution would change