Data:Linear Optimization ModelMaximize profit: 260 S + 340 D 70S+50D?4000 ?(Availability of? pine) 25 D?700(Availability of? oak) 11S+18D?400 ?(Availability of? labor) S?0 and D?0
Burger Ofice Equipment produces two types of desks, standard and deltora. Deltora desks have oak tops and I time for Wishing and pollshing S quire 70 board feet of pine and It hours of labor whereas deluxe desks require 50 board fe d 18 hours of labor For the next 700 at a proft of 5260 and deluxe desks net a profit of it found the sel for profit where'S is the number of standard desks produced and D is the number of deluxe its a through d. Click the icon to view the linear optimization model a. If 20% of the pine is deemed to be cosmetically fective, how will the optimal solution be affected? The optimal solution when 20% of the pine is deemed to be cos ly defective is to produce standard desk(s) and deluxe desk(s). This solution gives the minimum possible profit, which is $ This solution is not the same as the original solution, because the number of standard desks produced has decreased, the number of deliare desks produced has decreased and the profit has increased. (Type integers or decimals rounded to two decimal places as needed.) b. The shop supervisor is suggesting that the workforce be allowed to work an additional 50 hours at an overtime premium of $16/hour. Is this a good suggestion? Why or why not? Since the cost of labor is a binding constraint, increasing the amount of labor would not increase the number of units that could be produced. At an additional cost of $16/hour for the overtime labor, the standard desks would continue to be profitable and the deluxe desks would |no longer be profitable. Therefore, the overtime would not be a good suggestion. c. If the unit profit for standard desks is increased to $280, how will the optimal solution and total profit be affected? The optimal solution when the unit profit for standard desks is increased to $280 is to produce standard desk(a) and deluxe desk(s). This solution gives the maximum possible profit, which is $ . This solution Is the same as the original solution, because the number of standard desks produced has decreased. the number of deluxe desks produced has stayed the same and the profit has decreased. (Type integers or decimals rounded to two decimal places as needed.) d. If the unit profit of standard desks is only $190, how will the optimal solution and total profit be affected? The optimal solution the unit profit of standard desks is only $190 is to produce standard desk(s) and deluxe desk(s). This solution gives the maximum possible profit, which is $|. This solution is the same as the original solution, because the number of standard desks produced has increased, the number of deluxe desks produced has decreased, and the profit has stayed the same. (Type integers or decimals rounded to two decimal places as needed.) Enter your answer in each of the answer boxes
