2024 – 1 Consider the following linear programming problem Maximize 4X 10Y Subject to 3X 4Y

1 Consider the following linear programming problem:
Maximize 4X + 10Y
Subject to: 3X + 4Y <= 480 and 4X + 2Y = 0
The feasible corner points are (48,84), (0,120), (0,0), (90,0). 
What is the maximum possible value for the objective function?
1032
1200
360
none of the above

2. 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 1,600 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 be?
200
180
100
90
none of the above

3. 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 minutes
6 minutes
8 minutes
10 minutes
none of the above

4. 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.