A package express carrier is considering expanding the fleet of aircraft used to transport packages. There is a total of $220 million allocated for purchases. Two types of aircraft may be purchased the CIA and the C1B. The CIA costs $25 million, while the C1B costs $18 million. The CIA can carry 60,000 pounds of packages, while the C1B can only carry 40,000 pounds of packages. The company needs at least eight new aircraft. In addition, the firm wishes to purchase at least twice as many CIBs as C1As. Formulate this as an integer programming problem to maximize the number of pounds that may be carried
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- Dr Pepper bottles soft drinks that it distributes to retail outlets from ten warehouses in USA. A single bottling plant is located in Seattle. The product is shipped from the plant to the warehouses via trucks each of which possibly travels more than one warehouse in a trip. Dr Pepper outsources the transportation of the products to a third-party trucking company, DHL. DHL charges a fix fee of $500 plus a variable free of $0.80 per miles per a trip of a truck. For instance; if the length of a truck’s trip is 600 miles, then DHL charges 500 + 600*0.80 = $980 to Dr Pepper. The capacity of each truck is 36 pallets but transportation fee does not change if the all capacity is used or not. In a particular day the demands of the warehouses are as listed in the following table. Use Savings method to find the number of routes (trucks) needed, warehouses on the routes, and the sequence the truck should serve the warehouses based on the real distance matrix given below (assume the warehouses are…Arts N Crafts Industries manufacturers high-end light fixtures, which it sells internationally. The company is responsible for paying for shipping its product to a distributor located in Atlanta, Georgia. Due to the high cost of shipping, the company is considering shipping its products unassembled, but will include detailed assembly instructions in each package. By shipping unassembled products, Arts N Crafts will be able to shrink the size of its cartons and thereby increase the number of products per pallet from 16 (4 rows of 4) to 25 (5 rows of 5). Note that this change will not appreciably increase each product’s 8-pound shipping weight. Furthermore, since individual fixtures will be packed more tightly, they will be less susceptible to damage and easier to handle. Thus, the company expects the freight class to decrease from 85 to 70. Currently the company ships 400 units per week.a. Using Table, assess the impact of the proposed change in packaging on weekly shipping cost.b. How…You are thinking of combining Cell-Tech and Creatine Transport to obtain a 10-day supply that provides at least 90 grams of creatine and at least 10 grams of taurine, but no more than 675 grams of Carbohydrates and no more than 2,500 milligrams of alpha lipoic acid. Use the data on bodybuilding supplements. (Figures shown correspond to a single serving.) Creatine (g) Alpha Lipoic Carbohydrates (g) Taurine Cost |(g) Acid (mg). ($) Cell-Tech 10 75 2 200 2.20 (MuscleTech) Creatine Transport (Kaizen) 35 100 0.60 How many servings of each supplement should you combine to meet your specifications at the least cost? a. 5 servings of Cell-Tech and O servings of Creatine Transport O b. 0 servings of Cell-Tech and 18 servings of Creatine Transport c. 9 servings of Cell-Tech and 0 servings of Creatine Transport d. O servings of Cell-Tech and 10 servings of Creatine Transport e. no solution