Develop the Operations Research model

Q1. Comfy Beds is a manufacturing company that produces two types of mattresses, single mattresses and double mattresses. They make 20$ in profit out of every single mattress the make and 25 $ of every double mattress they make.

The demand on single mattresses at most 100 mattresses a day, and the demand on double mattresses is at least 40 mattresses a day.

The demand on double mattresses is at most twice as much as the demand on single mattresses and the total number of produced matrasses cannot be more than 180 mattresses.

Construct an OR model for this problem to maximize profit. Develop the appropriate operations research model, do not solve or find a solution, you just need to define the objective and constraints equations.

Q2. Fresh Food is a catering company that produces three types of meals to be distributed and sold throughout supermarkets; these are meat, vegetables, and soup meals. The company makes 2$ in

profit out of every meat meal, 1.75 $ of every vegetables meal, and 0.8$ of every soup meal.

The meals are prepared using three raw materials and they are meat, mixed vegetables, and a special sauce, and these materials are delivered every day to the company in limited quantities and they are 40 Kg of meat, 45 Kg of mixed vegetables and 60 Liters of special sauce. A Meat meal consumes 0.5 Kg of meat, 0.25 Kg of mixed vegetables

and 0.3 Liter of special sauce. A Vegetables meal consumes 0.5 Kg of mixed vegetables, and 0.4 Liter of special sauce. A Soup meal consumes 0.2 Kg of meat, 0.3 Kg of mixed vegetables, and a Liter of special sauce.

The total demand is between 150 and 300 meals, and that the demand on meat meals is at least 40% of total demand.

Construct an OR model for this problem to maximize profit. Develop the appropriate operations research model, do not solve or find a solution, you just need to define the objective and constraints equations .