Question

If we have a stochastic model in which the value of a varies between 3 and 6 (i.e., a = 3, a = 4, a = 5, or a = 6) as the possible values for the number of hours required per unit, what is the optimal value for x? If required, round your answer to two decimal places.

Answer 1

x ≤ 16.67

Explanation:

CORRECTED QUESTION

Suppose the following is the mathematical model:

Max 11x such that

ax ≤ 50 and x ≥ 0

where a is the number of hours required for each unit produced. If we have a stochastic model in which the value of a varies between 3 and 6 (i.e., a = 3, a = 4, a = 5, or a = 6) as the possible values for the number of hours required per unit, what is the optimal value for x? If required, round your answer to two decimal places.

ANSWER

The Optimal value of x is obtained when the number of hours per unit production is at a minimum ( in this case a=3)

Therefore the optimal value of x satisfying the constraint ax ≤ 50 at a=3 is given as

x≤50/3=16.67