Question 1178699
Absolutely! Let's formulate this as a linear programming problem.

**1. Define the Decision Variables:**

* Let `x` represent the number of kilograms of Food A.
* Let `y` represent the number of kilograms of Food B.

**2. Define the Objective Function:**

* The objective is to minimize the cost.
* Cost = 50x + 70y
* Minimize Z = 50x + 70y

**3. Define the Constraints:**

* **Vitamin A Constraint:** The mixture must contain at least 8 units of Vitamin A.
    * 2x + y ≥ 8
* **Vitamin C Constraint:** The mixture must contain at least 10 units of Vitamin C.
    * x + 2y ≥ 10
* **Non-negativity Constraints:** The amount of food cannot be negative.
    * x ≥ 0
    * y ≥ 0

**Complete Linear Programming Problem:**

**Minimize:** Z = 50x + 70y

**Subject to:**

* 2x + y ≥ 8
* x + 2y ≥ 10
* x ≥ 0
* y ≥ 0