The profit function for two types of ipod is
profit = -4 x 12 + 38 x 1 - 5 x 22+ 48 x 2 + 500
where x1 and x2 represent number of units of production of basic and advanced ipods, respectively.
production time required for the basic ipod is 6.5 hours per unit, and production time required for the advanced ipod is 8.5 hours per unit. currently, 55 hours are available. the cost of hours is already factored into the profit function. formulate an optimization problem that can be used to find the optimal production quantity of basic and advanced ipods. solve the optimization model you formulated, what is the optimal value of the objective function? round your answer to one decimal place.