A car dealer has warehouses in Millville and Trenton and dealerships in Camden and Atlantic City. Every car that is sold at the dealerships must be delivered from one of the warehouses. On a certain day the Camden dealers sell 10 cars, and the Atlantic City dealers sell 12. The Millville warehouse has 15 cars available, and the Trenton warehouse has 10. The cost of shipping one car is $50 from Millville to Camden, $40 from Millville to Atlantic City, $60 from Trenton to Camden, and $55 from Trenton to Atlantic City. How many cars should be moved from each warehouse to each dealership to fill the orders at minimum cost? The dealer should ship cars from Millville to Camden cars from Millville to Atlantic City cars from Trenton to Camden cars from Trenton to Atlantic City
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.The Fish House (TFH) in Norfolk, Virginia, sells fresh fish and seafood. TFH receives daily shipments of farm-raised trout from a nearby supplier. Each trout costs $2.45 and is sold for $3.95. To maintain its reputation for freshness, at the end of the day TFH sells any leftover trout to a local pet food manufacturer for $1.25 each. The owner of TFH wants to determine how many trout to order each day. Historically, the daily demand for trout is: Demand 10 11 12 13 14 15 16 17 18 19 20 Probability 0.02 0.06 0.09 0.11 0.13 0.15 0.18 0.11 0.07 0.05 0.03 a. Construct a payoff matrix for this problem. b. How much should the owner of TFH be willing to pay to obtain a demand forecast that is 100% accurate? give a clear explanation for (b)A manufacturer has two shipments to make from Minneapolis to Chicago. Both shipments weigh 8500 pounds. The two shipments can be shipped separately to Chicago at a cost of $2.00 per mile for a total of 409 miles and will take one day for each shipment. The company has a warehouse in Milwaukee where they can consolidate the freight. It would take two LTL shipments at $2.00 per mile to get the freight to Milwaukee for 337 miles and then one full TL shipment from Milwaukee to Chicago at $1.50 per mile for 92 miles. The consolidation cost in Milwaukee is $200 and it takes two days for the trip through Milwaukee. What is the lowest cost to ship the freight and which approach would you select?
- Beeson Co. is experiencing a decrease in sales and operating income for the fiscal year ending December 31st. Julia Faure, controller of Beeson Co., has suggested that all orders received before the end of the fiscal year be shipped by midnight, December 31st even if shipping department must work overtime. Since Beeson Co. ships all merchandise FOB shipping point, it would record all such shipments as sales for the year ending December 31st, thereby offsetting some of the decreases in sales and operating income.Discuss whether Julia Faure is behaving in a professional manner and what are the implications of her actions?Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. What is the objective function? Group of answer choices Max Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3BE + $5CD + $3CE…A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to Customer A and 800 tons to Customer B). It can meet this demand by shipping existing inventory from any of its three warehouses. Warehouse 1 has 400 tons of inventory onhand, Warehouse 2 (W2) has 500 tons, and Warehouse 3 (W3) has 600 tons. The company would like to arrange the shipping for the lowest cost possible, where the per-ton transit costs are as follows: W 1 W 2 W 3 $7.50 $6.75 $6.25 $7.00 $6.50 $8.00 Customer A Customer B Write the objective function and the constraint in equations. Let V;= tons shipped to customer i from warehouse j, and so on. For example, VA1 = tons shipped to customer A from warehouse W1. This exercise contains only parts b, c, d, e, and f. b) The objective function for the LP model = Minimize Z = $7.50 + $6.25 + $6.50 (shipping cost to customer A) V + $6.75 + $7.00 + $8.00 (shipping cost to customer B) c) Subject to: Customer A's demand Customer B's demand…
- Sarasota Go Karts (SGK) is a firm that manufactures racing go-karts (fictitious) in Sarasota Florida. They produce a low-volume, premium product used by those who race go-karts. In total, they produce and sell around 300 go-karts per year. They offer five different models, although some further customization can be added upon request. They sell their products directly to the consumer, who can visit their small showroom at their manufacturing plant if they are in the area. However, the majority of go-kart orders are placed via their website or the phone, and are then shipped to the customer. Over the years, SGK has ran into a number of problems. First is their inventory levels. Their finished goods inventory is substantial, at any one time they have between 250-300 finished go-karts on hand. This is because they want to have an inventory of all five go-kart models on hand at any point in time, and they produce each model in a batch of 50 units at a time. They also have substantial work…3.4-15* A cargo plane has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized below: Weight Саpacity (Tons) Space Сapacity (Cubic Feet) Compartment Front 7,000 9,000 5,000 12 Center 18 Back 10 Furthermore, the weight of the cargo in the respective compart- ments must be the same proportion of that compartment's weight capacity to maintain the balance of the airplane.Valles Galactic Industries (VGI) owns a small company (VGI-Durango Sur) that manufactures various electronic products for original equipment manufacturers. Customer companies provide engineering designs, materials lists, and some unique materials. VGI-DS provides labor and space for the manufacturing and assembly operations and stocking a variety of inventory items for production, such as wire, cables, some electronic components, etc. Thus, VGI-DS orders a variety of components and raw materials by contract. The labor pool is primarily composed of about 100 retirees picking up extra cash by working four to six-hour shifts. Thus, the assembly operations must be simple and easy to teach. Skilled employees must do several raw material conversions for packaging—there are currently three such employees. VGI-DS receives forecasts from VGI headquarters for planned production for two years on a rolling quarterly basis. Staff at VGI-DS develop schedules and inventory plans based on this…
- . A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(759) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of (24)%. The truck capacity is 20 tons. a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost? b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total inventory-related cost?…Jays Office Supplies sells Printers, which it orders from Brands mart Inc in . Because of shipping and handling costs, each order must be for 5 printers. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 5 Printers. It costs $50 to place an order. It costs the company $500 in lost sales when a customer asks for a Printer and the warehouse is out of stock. It costs $100 to keep each Printer stored in the warehouse. If a customer cannot purchase a Printer when it is requested, the customer will not wait until one comes in but will go to a competitor. The following probability distribution for demand for Printer has been determined: Questions 1.Simulate CWD 's ordering and sales policy for 20 weeks 2. Compute the average cost of the policy PLEASE NOTE I SENT THIS IN ALREADY BUT I REALIZED I LEFT OUT SOME VITAL INFORMATION AND AGAIN THIS IS NOT FROM ANOTHER SITE.A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffiffiffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation σ = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.