Suppose we modify the production model in section 1.3 to obtain the following mathematical model: max 10x s. t. ax less than or equal to 40 x= 0 where a is the number of hours of production time required for each unit produced. with a = 5, the optimal solution is x = 8. if we have a stochastic model with 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? round your answers for the optimal solution to two decimal places. round the answers for profit to the nearest dollar.