I need help with this question 6 Shipping - Product Mix A produce dealer in Florida ships oranges, grapefruits, and avocados to New York by truck. Each truckload consists of 100 crates, of which at least 20 crates must contain oranges, at least 10 crates must contain grapefruits, at least 30 crates must containavocados, and there must be at least as many crates of oranges as grapefruits. The profit per crate is $5 for oranges, $6 for grapefruits, and $4 for avocados. How many crates of each type should be shipped per truckload in order to maximize profit?Let o = the number of crates of oranges,Let g = the number of crates of grapefruits, andLet a = the number of crates of avocadosWhich option (a, b, c, or d) shows the correct objective function and constraints for this application?O Objective Function: Maximize Profit, P = 50 + 6g + 4aConstraints: o+g+d=100, o = 20, g = 10, a = 30, g >= o, o >= 0, g >= 0, a >= 0O Objective Function: Maximize Profit, P = 50 + 6g + 4aConstraints: o+g+d>= 100, o<= 20, g <= 10, a <= 30, o >=g, o >= 0, g >= 0, a >= 0O Objective Function: Maximize Profit, P = 50 + 6g + 4aConstraints: o+g+d=100, o >= 20, g >= 10, a >= 30, o >= g, o>= 0, g >= 0, a > 0O Objective Function: Maximize Profit, P = 50 + 6g + 4aConstraints: o+g+ d >= 100, o >= 20, g>= 10, a >= 30, o >=g, o >= 0, g >= 0, a >= 0

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Practical Management Science

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Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

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Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...

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Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
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?
She must travel to Kenya to check on quality and transportation. The trip will cost $2,500. The cost of the handbag is $10 and shipping to the United States can occur through the postal system for $2 per handbag or through a freight company which will ship a container that can hold up to 1,000 handbags at a cost of $1,000. The freight company charges $1,000 even if less than 1,000 handbags are shipped. Leslie will sell the handbags to retailers for $20. Assume there are no other costs and benefits. what is the output level that both shipping methods yield same profit? Ho
Arts N Crafts Industries manufacturers high-end light fixtures, which it sells internationally. The company is responsible for paying for shipping its product to a distributor located in Atlanta, Georgia. Due to the high cost of shipping, the company is considering shipping its products unassembled, but will include detailed assembly instructions in each package. By shipping unassembled products, Arts N Crafts will be able to shrink the size of its cartons and thereby increase the number of products per pallet from 16 (4 rows of 4) to 25 (5 rows of 5). Note that this change will not appreciably increase each product’s 8-pound shipping weight. Furthermore, since individual fixtures will be packed more tightly, they will be less susceptible to damage and easier to handle. Thus, the company expects the freight class to decrease from 85 to 70. Currently the company ships 400 units per week.a. Using Table, assess the impact of the proposed change in packaging on weekly shipping cost.b. How…
) O'Donnell & Joyce purchases components from three suppliers. Components purchased from Supplier A are priced at €7 each and used at the rate of 18,000 units per month. Components purchased from Supplier B are priced at €5 each and are used at the rate of 4,500 units per month. Components purchased from Supplier C are priced at €9 each and used at the rate of 1000 units per month. Currently, O'Donnell & Joyce purchases a separate truckload from each supplier. As part of its JIT drive, O'Donnell & Joyce has decided to aggregate purchases from the three suppliers. The trucking company charges a fixed cost of €550 for the truck with an additional charge of €120 for each stop. Thus, if O'Donnell & Joyce asks for a pickup from only one supplier, it charges €670; from two suppliers, it charges €790; and from three suppliers, it charges €910. What replenishment strategy would you suggest for O'Donnell & Joyce to minimize annual costs? Assume an annual holding cost of 25…
Radiant wants to hire Cargo planes for transporting their goods. They contacted VIP Transportation Company to hire Cargo planes. VIP informed that they can provide two types of Cargo Planes. In addition, they provided the following cost related information about the two types Cargo planes- WT88 and BH54: Personnel Cost Fuel Cost Maintenance Cost WT88 2000 1000 2000 BH54 2500 1500 1000 Radiant has $200,000 to spend in personnel cost, $160,000 in fuel cost, and $80,000 in maintenance cost. Moreover, they have to hire at least two of each type of planes. If WT88 can carry 55 tons of goods and BH54 can carry 85 tons of goods, then find out the following using Linear Programming: What is the maximum amount Radiant can carry given their budget constraint? Can you solve using solver ? (I did this but I got a wrong answer) Data Personnel Cost Fuel Cost Maintenance Cost Tons WT88 2000 1000 2000 55…
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…
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…
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