Question

Pianni Beverages produce two ready-mixed cocktail drinks; the Zombie and the Skyjack. Each is a mixture of vodka, vermouth, and ginger. It takes 3 litres of vodka, 6 litres of vermouth and 1 litre of ginger to make 10 litres of Zombie. It takes 5 litres of vodka, 3 litres of vermouth and 2 litres of ginger to make 10 litres of Skyjack.

The company makes £150 profit per 10 litres of Zombie and £200 profit per 10 litres of Skyjack. The maximum available supplies per day are: 1500 litres of vodka, 1500 litres of vermouth and 400 litres of ginger. Pianni Beverages wants to maximize profits on a daily basis by producing the optimal number of Zombie and Skyjack.

Answer 1

To determine the optimal number of Zombie and Skyjack cocktails that Pianni Beverages should produce in order to maximize profits, we can use linear programming.

Step-by-step explanation:

To determine the optimal number of Zombie and Skyjack cocktails that Pianni Beverages should produce in order to maximize profits, we can use linear programming. Let's denote the number of 10-litre batches of Zombie cocktails as Z, and the number of 10-litre batches of Skyjack cocktails as S. The objective is to maximize the profit, which can be expressed as follows:

Profit = 150Z + 200S

Subject to the following constraints:

• 3Z + 5S ≤ 1500 (for vodka)
• 6Z + 3S ≤ 1500 (for vermouth)
• Z + 2S ≤ 400 (for ginger)
• Z, S ≥ 0 (non-negativity constraint)

We also need to consider that the production should result in whole numbers, as cocktails cannot be divided into fractions.

We can use the simplex method, a common method for solving linear programming problems, to find the optimal solution.

Answer 2

£32000 is the answer to that question and I appreciate your help