Consider the following warehouse with square storage grids n…

Consider the following warehouse with square storage grids numbered 1 through 20. All pallets enter through port 1 (SW corner, gird id#1). 40% of the pallets depart through port 2 (SE corner, grid#4 ) and 60% use port 3 (NW corner, grid#13). Two product types are stored.  Product type 1 requires 4 grids and product type 2 requires 16. Total product throughput is 20 pallets per day for product type 1 and 40 pallets per day for product type 2. Each grid is 1 x 1. In which grids should you store product type 1 (select all grid numbers applicable)? (Note: You must show your computations for at least one grid location). (10 pts) Port 3 (0,4) 16 17 18 19 20 11 12 13 14 15 6 7 8 9 10 1 2 3 4 5 Port 1 (0,0)              Port 2 (5,0)

During the pandemic, the valley was experiencing a toilet-pa…

During the pandemic, the valley was experiencing a toilet-paper shortage. You were hired as an engineer at Charmin to help prioritize which cities in the valley should receive their orders first to maximize their profits. The issue is that the one semi-truck you will be loading has a limit on the number of rolls it can hold. The semi-truck can carry 10 rolls from floor to ceiling, 10 rolls from left to right, and 40 rolls from the back to the front of the trailer. You were told by the cities that because of the toilet paper shortage, they are okay with receiving partial orders since their customers are in a stinky situation. Below is each city needing toilet paper, the number of rolls they are requesting, and what the profit is. You will be using a Greedy Knapsack approach to solve this problem.                                                 a. Write the objective function and any constraints for this problem. [5pts]b. Determine the order of which cities you should ship to and list the number of rolls all 6 cities will receive. [5pts] c. What is the total profit? [5pts]

The Daytona 500 racetrack in Florida has some of the best pi…

The Daytona 500 racetrack in Florida has some of the best pit-crews in the world to service cars as they race for NASCAR. Each pit crew in NASCAR can contain up to 8 crew members, but only 5 are allowed in the pit at any time. In this scenario, the cars, as they stop, line up and have a crew member assigned. The crew members do not have the same service speed (see table below), but you should assume that all crew members can service a car in full regardless of title (meaning cars do not need to visit all crew members, they are serviced by 1 as they are assigned). Crew Member Pit Speed Tire Carrier 4 cars per hour Utility Man 6 cars per half hour Jackman 5 cars per 15 min Gas Man 7 cars per hour Tire Changer 1 car per 10 min The pit-stop area (nicknamed Tartarus) is where each car is assigned a crew member and are serviced from right to left (meaning the last car is serviced first, then the 19th car and so on). 5a. How many cars can the entire crew serve in 1 hour? (5pts) [PartA] 5b. Identify the order of which the crew members should be placed in the pit (1st, 2nd, 3rd, 4th, 5th). (5pts) [PartB1st] , [PartB2nd] , [PartB3rd] , [PartB4th] , [PartB5th] 5c. Identify which crew member is the bottleneck for the whole pit. (3pts) [PartC]5d. Identify each range of cars the crew members will work when the pit-stop system reaches steady state (REMEMBER: Cars arrive right to left). Please show all work on scrap paper. (10pts) [PartD]

The Daytona 500 racetrack in Florida has some of the best pi…

The Daytona 500 racetrack in Florida has some of the best pit-crews in the world to service cars as they race for NASCAR. Each pit crew in NASCAR can contain up to 8 crew members, but only 5 are allowed in the pit at any time. In this scenario, the cars, as they stop, line up and have a crew member assigned. The crew members do not have the same service speed (see table below), but you should assume that all crew members can service a car in full regardless of title (meaning cars do not need to visit all crew members, they are serviced by 1 as they are assigned). Crew Member Pit Speed Jackman 4 cars per hour Tire Changer 6 cars per half hour Gasman 5 cars per 15 min Utility Man 7 cars per hour Tire Carrier 1 car per 10 min The pit-stop area (nicknamed Tartarus) is where each car is assigned a crew member and are serviced from right to left (meaning the last car is serviced first, then the 19th car and so on). 5a. How many cars can the entire crew serve in 1 hour? (5pts) [PartA] 5b. Identify the order of which the crew members should be placed in the pit (1st, 2nd, 3rd, 4th, 5th). (5pts) [PartB1st] , [PartB2nd] , [PartB3rd] , [PartB4th] , [PartB5th] 5c. Identify which crew member is the bottleneck for the whole pit. (3pts) [PartC]5d. Identify each range of cars the crew members will work when the pit-stop system reaches steady state (REMEMBER: Cars arrive right to left). Please show all work on scrap paper. (10pts) [PartD]