The company Sabores y Sazones (S&S) has a limited stock of two herbs that are used in the production of dressings. S&S uses two ingredients HB1 and HB2 to produce either curry or paprika. The marketing department reports that although the company can sell all the paprika it can produce, it can only sell up to a maximum of 1,500 bottles of curry. Unused herbs can be sold for $ 375 an ounce for HB1 and $ 167 an ounce for HB2. The following table describes the ingredient requirements (in ounces) for each of the dressings, as well as the demand for the dressings and their selling price.

• If the manager of the company wants the herbs to be used in such a way that the maximum possible profit is obtained, how many bottles of each kind of dressing must be made per month?
To answer this question, you must write the formulation of the problem here. You must establish (i) the objective function, (ii) the decision variables, (iii) restrictions.
To set variables with subscripts (if you wish) you can write them like this X (i, j) to represent Xi, j.

• If the manager of the company wants the herbs to be used in such a way that the maximum possible profit is obtained, how many bottles of each kind of dressing must be made per month?

• If the manager of the company wants the herbs to be used in such a way that the maximum possible profit is obtained, what is the maximum profit that can be obtained from Flavors and Seasonings under the conditions set out?

Ingredientes (Onzas/Botella) Hierba 2 Demanda Precio de Venta Aderezo por botella ($) 2750 Hierba 1 (Botellas) Curry 3 1500 Pimentn Ilimitada 1300 Disponibilidad (onzas) 10000 8500