Daniel needs to assign his mechanics to four pending jobs. The table below shows how much time (in minutes) it takes each mechanic to perform each job. Help Daniel determine the optimal assignments. Job (Time in Minutes) 1 2 3 4 Worker A 5 7 В 3 8 4 4 C 4 7 4 5 5 In the optimal solution, who should be assigned to work on Job 4? Worker C Worker A Worker B Worker D
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- A company produces and sells 7,680 stuffed dogs each year. Each production run has a fixed cost of $300 and an additional cost of $1 per stuffed dog. To store a stuffed dog for a full year costs $5. What is the optimal number of production runs the company should make each year? Enter a whole number and do not include units in your answer.A company produces and sells 10,125 desks each year. Each production run has a fixed cost of $500 and an additional cost of $15 per desk. To store a desk for a full year costs $8. What is the optimal number of desks the company should make during each production run? Do not include units with your answer.A company produces and sells 7,350 laptops each year. Each production run has a fixed cost of $300 and an additional cost of $50 per laptop. To store a laptop for a full year costs $4. What is the optimal number of laptops the company should make during each production run? Do not include units with your answer.
- At Long John Silver’s (LJS), Platter 1 comes with 2 pieces of fish, 3 pieces of chicken, and 5 fried shrimp, while Platter 2 comes with 3 pieces of fish, 1 piece of chicken, and 8 fried shrimp. Platter 1 sells for 8 dollars and platter 2 sells for 10 dollars. If LJS has access to 1000 pieces of fish, 1200 pieces of chicken, and 2600 fried shrimp, what is the optimal number of platters LJS should make in order to maximize its profit? Note that the constraints relate to (please use these in order) fish, chicken, and shrimp.At Long John Silver’s (LJS), Platter 1 comes with 2 pieces of fish, 3 pieces of chicken, and 5 fried shrimp, while Platter 2 comes with 3 pieces of fish, 1 piece of chicken, and 8 fried shrimp. Platter 1 sells for 8 dollars and platter 2 sells for 10 dollars. If LJS has access to 1000 pieces of fish, 1200 pieces of chicken, and 2600 fried shrimp, what is the optimal number of platters LJS should make in order to maximize its profit? Note that the constraints relate to (please use these in order) fish, chicken, and shrimp. Note that problem 7 had three constraints (excluding the non-negativity constraints), and setting two pairs of those constraints to equality led to two extreme points on the feasible region. What INFEASIBLE point was at the intersection of the other pair of constraints? In the optimal solution to problem 7, the optimum was found at the intersection of two of the constraints that were not non-negativity constraints. Call these “binding” constraints. One of those…The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $300 per order to cover the expenses of delivering and transferring the fuel to MBC’s storage tanks. The lead time for a new shipment from American Petroleum is 7 days; the cost of holding a gallon of fuel in the storage tanks is $0.04 per month or $0.48 per year. The annual fuel usage is 250,000 gallons. MBC buses operate 300 days a year.What is the optimal order quantity for MBC?(Is it 12,500 gallons?)How frequently should MBC place an order to replenish the gasoline supply?(Is it 25 days?)What is the reorder point? (5,000 gallons?)
- A sales director who lives in city A is required to fly to regional offices in cities B, C, D, and E. The weighted graph shows the one-way airfares between any two cities. Use the Brute Force Method to find the optimal solution. Which Hamilton Circut is the most optimal? How much will the sales director make on the most optimal circut?A company orders and uses 6,000 cans of paint each year. Each order has a fixed shipping cost of $150 and an additional cost of $2 per can of paint. To store a can for a full year costs $5. What is the optimal number of cans of paint the company should buy during each order? Do not include units with your answer.we will be looking at the travels of a fictional circus with just a single touring unit. This Atlanta-based circus plans to visit 24 cities, listed in the table below. After visiting all of the cities, the circus will return to Atlanta. The goal of the circus is to find a good tour of all the cities; that is, to find a path that visits each city and then returns to its starting point. Of course, some tours are shorter than others, and the optimal tour is the one which covers the least total distance. Atlanta, GA Detroit, MI Lincoln, NE Phoenix, AZ Boston, MA Indianapolis, IN Minneapolis, MN Pittsburgh, PA Buffalo, NY Jacksonville, FL Nashville, TN Portland, OR Charlotte, NC Kansas City, MO New Orleans, LA Salt Lake City, UT Chicago, IL Las Vegas, NV Oakland, CA San Antonio, TX Cleveland, OH Lexington, KY Oklahoma City, OK San Diego, CA The raw city-to-city distance data (HW2data.xls) can be found in an Excel spreadsheet on Canvas. All distances are symmetric; the distance from city A…
- How much should the price of product 2 be increasedto make it profitable to produce? How much of product 2 shouldbe produced in the new optimal plan?The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $200 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.01 per month, or $0.12 per year; and annual fuel usage is 120,000 gallons. MBC buses operate 300 days a year. What is the optimal order quantity for MBC? Q* = fill in the blank 1 How frequently should MBC order to replenish the gasoline supply? fill in the blank 2 orders per year The MBC storage tanks have a capacity of 15,000 gallons. Should MBC consider expending the capacity of its storage tanks? Metropolitan Bus Company __needs to expand or does not need to expand___ the capacity of its storage tanks. What is the reorder point? r = fill in the blank 4 gallonsPlease help with iv v and vi with a step by step process on how we get the optimal tableau