1 Consider the following linear programming problem:Maximize 4X + 10YSubject to: 3X + 4Y The feasible corner points are (4884) (0120) (00) (900).What is the maximum possible value for the objective function10321200360none of the above2. Rolf Steps is the production manager for a local manufacturing firm. This company produces staplers and other items. The annual demand for a particular stapler is 1600 units. The holding cost is $2 per unit per year. The cost of setting up the production line is $25. There are 200 working days per year. The production rate for this product is 80 per day. If Rolf decided to produce 200 units each time he started production of the stapler what would his maximum inventory level be20018010090none of the above3. At a local fast food joint cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is:4 minutes6 minutes8 minutes10 minutesnone of the above4. As order size increases total:inventory costs will increase reach a maximum and then quickly decrease.inventory cost will decrease reach a minimum and then increase.ordering costs will initially increase while total carrying cost will continue to decrease.carrying cost decreases while the total ordering cost increases.