Question 1198669
**Formulating the Linear Programming Problem**

**Variables:**

* Let 'x' be the number of televisions shipped from Location I to City A.
* Let 'y' be the number of televisions shipped from Location I to City B.

**Objective Function:**

* **Minimize Shipping Costs (C):** 
    * C = 5x + 5y + 8(2900 - x) + 8(4000 - y) 
    * C = 5x + 5y + 23200 - 8x + 32000 - 8y
    * C = -3x - 3y + 55200 

**Constraints:**

* **Location I Production Constraint:** 
    * x + y ≤ 5800 

* **Location II Production Constraint:**
    * (2900 - x) + (4000 - y) ≤ 5100 
    * 6900 - x - y ≤ 5100 
    * x + y ≥ 1800

* **Pulsar Factory A Demand:**
    * x ≥ 0 

* **Pulsar Factory B Demand:**
    * y ≥ 0 

**Therefore, the linear programming problem can be formulated as:**

**Minimize:** 
C = -3x - 3y + 55200

**Subject to:**
* x + y ≤ 5800 
* x + y ≥ 1800
* x ≥ 0
* y ≥ 0

**Note:**

* This formulation assumes that all production capacities at both locations can be used to fulfill Pulsar's orders. 
* The shipping costs from both locations to City A and City B are the same, which simplifies the objective function.

This linear programming problem can then be solved using graphical methods, the simplex method, or other optimization techniques to determine the optimal shipping schedule (values of x and y) that minimizes the total shipping costs while meeting the production and demand constraints.