Problem 2 Optimization (50 points) The Computer Compan The Management of the Computer Company is trying to determine the optimal weekly production amoun Hardware Assembly amount of the two laptops over the coming plannin Product (hours/unit Laptop 1 Labor-Hours Available Department Laptop 2 Software Instalation Testin 3.5 2 120 56 50 3 eriod. The information concerning labor availability, labor utilization, and product profitability is given in the table on the right. Neither laptop should account for more than 60% of the entire production Profit contribution/unit $305 $155 a) Determine the optimal production quantities b) If overtime can be scheduled, which department would vou recommend for scheduling overtime? How much would you be willing to pay per hour of overtime in each department? c) Do you need to revise your production plan if profit per unit of Laptop 1 goes down from $305 to $295. What happens with the profit? d) An engineer is willing to work two extra hours in testing for a pay $50 per hour. Is it profitable to higher an engineer? Problem 2 Optimization (50 points) The Computer Compan The Management of the Computer Company is trying to determine the optimal weekly production amoun Hardware Assembly amount of the two laptops over the coming plannin Product (hours/unit Laptop 1 Labor-Hours Available Department Laptop 2 Software Instalation Testin 3.5 2 120 56 50 3 eriod. The information concerning labor availability, labor utilization, and product profitability is given in the table on the right. Neither laptop should account for more than 60% of the entire production Profit contribution/unit $305 $155 a) Determine the optimal production quantities b) If overtime can be scheduled, which department would vou recommend for scheduling overtime? How much would you be willing to pay per hour of overtime in each department? c) Do you need to revise your production plan if profit per unit of Laptop 1 goes down from $305 to $295. What happens with the profit? d) An engineer is willing to work two extra hours in testing for a pay $50 per hour. Is it profitable to higher an engineer