1. **Problem Statement:** We are given a linear programming problem to minimize the cost function $$\text{Cost} = 1.80S + 2.20T$$ subject to the constraints: $$5S + 8T \geq 200$$ $$15S + 6T \geq 240$$ $$4S + 12T \geq 180$$ $$T \geq 10$$ The question asks: *What is the Outgoing Variable in table 1?* 2. **Understanding the Outgoing Variable:** In the simplex method, the outgoing variable is the basic variable that leaves the basis when a pivot operation is performed. It is determined by the minimum ratio test, which compares the right-hand side values to the coefficients of the entering variable in the constraints. 3. **Steps to find the Outgoing Variable:** - Identify the entering variable (usually the one with the most negative coefficient in the objective function row). - For each constraint, calculate the ratio of the right-hand side to the coefficient of the entering variable (only if the coefficient is positive). - The smallest non-negative ratio determines the outgoing variable. 4. **Since the problem does not provide the simplex tableau (table 1), we cannot directly identify the outgoing variable without the tableau data.** 5. **Conclusion:** To find the outgoing variable, you need the simplex tableau showing the current basic variables, coefficients, and right-hand side values. Without this, the outgoing variable cannot be determined. **Final answer:** The outgoing variable in table 1 cannot be determined from the given information because the simplex tableau is not provided.