PRODUCTION SCHEDULING Ace Novelty manufactures Giant Pandas and Saint Bernards. Each Panda requires
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Chapter 4 Solutions
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- A contractor, Susan Meyer, has to haul gravel to three building sites. She can purchase as much as 18 tons at a gravel pit in the north of the city and 14 tons at one in the south. She needs 10, 5, and 10 tons at sites 1, 2, and 3, respectively. The purchase price per ton at each gravel pit and the hauling cost per ton are given in the table below. Susan wishes to determine how much to haul from each pit to each site to minimize the total cost for purchasing and hauling gravel. Hauling Cost per Ton at Site Pit 1 3 Price per Ton North $30 $60 $50 $100 South $60 $30 $40 $120 Now suppose that trucks (and their drivers) need to be hired to do the hauling, where each truck can only be used to haul gravel from a single pit to a single site. Each truck can haul 5 tons, and the cost per truck is five times the hauling cost per ton given above. Only full trucks would be used to supply each site. a. Formulate this problem as an assignment problem by constructing the appropriate cost table,…arrow_forwardThe Big Bang Novelty Company makes three basic types of noisemakers: Toot, Wheet, and Honk. The respective selling prices are $0.9O, $0.75, and $1.25 per unit, respectively. Two Toots can be made per minute, and each one has a feather attached to it. Three Wheets can be made per minute; each one has two feathers and is sprinkled with one-half ounce of sequin powder. Four Honks can be made in a minute; each one has 3 feathers and one ounce of sequin powder. The manufacturing costs for Toots, Wheets, and Honks are $0.35, $0.40, and $0.50, respectively. The following resources are available: 80 hours of labor, 90 ounces of sequin powder, and 360 feathers. The management of Big Bang wants to produce at least three times as many Wheets as the combined total of Toots and Honks. How many units of each type of noisemaker should they make to maximize their total profit.arrow_forwardA furniture store expects to sell 120 coffee tables during the next year. It costs $1.50 to store one coffee table for one year. To reorder, there is a fixed cost of $10, plus $2.80 for each coffee table ordered. In what lot size and how many times per year should an order be placed to minimize inventory costs? coffee tables per order orders per yeararrow_forward
- The Flustard is an animal that eats three foods: squerps, fleebs, and blurds. A squerp costs $8 and provides 8 mg (milligrams) of mertle, 9 mg of perkle, and 20 mg of kerple. A fleeb costs $7 and provides 9 mg of mertle, 26 mg of perkle, and 7 mg of kerple. A blurd costs $4 and provides 7 mg of mertle, 6 mg of perkle, and 10 mg of kerple. The Flustard needs at least 0.6 g (grams) of mertle, 1.9 g of perkle, and 1.4 g of kerple every day to live. What's the cheapest way to feed your pet Flustard for one day? Use the variables # squerps = # fleebs = # blurds. %3Darrow_forwardHermey and the Abominable Snowmonster want to wrap presents in the same size box for all 25,508 elves at the North Pole (no overlapping edges). The top and bottom of each box is 8 inches by 3 inches, the sides are both 3 inches by 2 inches, and the front and back are 8 inches by 2 inches. Wrapping paper from Walmart comes in a roll covering 1,822 square inches and costs $1.52 per roll. Wrapping paper from Hallmark comes in a roll covering 3,188.5 square inches and costs $2.59 per roll. If the two of them want to choose the wrapping paper that costs the least amount, how much will they spend on wrapping paper? Enter your answerarrow_forwardA company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…arrow_forward
- A community playhouse needs to determine the lowest-cost production budget for an upcoming show. They have to determine which set pieces to construction and which to rent. The organization has only two weeks to construct the set. The theater has two carpenters who work up to 12 hours a week, each at $10 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $14 per hour. The set needs 20 flats (walls), two hanging drops, and three wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below. Flats, hanging drops, and props can also be rented at a cost of $75, $500, and $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost? E Click the icon to view the table of carpentry and painting hours. The optimal integer solution is to build flat(s) and rent flat(s); build hanging drop(s) and rent hanging drop(s); build…arrow_forwardTh have $150,000 available to purchase additional equipment and 250 square feet of floor space to install the new equipment. They can purchase a lathe, a press, a grinder, a metal bender, a shearing table, or some combination of the above. The company can only purchase one of each item, but they Manufacturing Company is looking to expand their production capabilities. They may purchase as many of items as they can afford. The cost and square footage for each machine is detailed in the table below. Name Cost Square Footage Lathe (x1) $45,000 50 sq ft Press (x2) $65,000 80 sq ft Grinder (x3) $30,000 120 sq ft Metal Bender (x4) $75,000 70 sq ft Shearing Table (x5) $15,000 80 sq ft The company estimates they can generate a profit each day from each piece of equipment of $800 from the lathe, $600 from the press, $1,400 from the grinder, $1.200 from the metal bender, and $400 from the shearing table. Unfortunately, the manufacturing company only has the safety permit to install the lathe or…arrow_forwardA manufacturing process has a fixed cost of $150,000 per month. Each unit of product is being produced contains $30 worth of material and takes $40 of labor. How many units are needed to break even if each completed unit has a value of $80?arrow_forward
- An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows: Container A B C Cost ($ each) 4 6 7 Capacity (cu in) 200 400 600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?arrow_forwardA patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B1, and 40 mg of vitamin C. He can choose between pill 1, which contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B1, and 20 mg of vitamin C. Pill 1 costs 15¢, and pill 2 costs 45¢. Complete parts a and b below. ..... a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy 4 of pill 1 and 1 of pill 2. The minimum cost is $ 1.05 . (Simplify your answers. Type integers or decimals.) b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving. He is receiving IU of vitamin A, mg of vitamin B1, and mg of vitamin C more than he needs. (Simplify your answers.)arrow_forwardA farmer has 165 acres of land suitable for cultivating crops A and B. He has enough seeds available to plant 110 acres of crop A and 115 acres of crop B. Each acre of crop A requires 18 hours of labor, and each acre of crop B requires 19 hours of labor. The farmer has at most 3420 hours of labor available. He expects to make a profit of 130 dollars per acre on crop A and 190 dollars per acre on crop B. How many acres should the farmer plant in order to maximize his profit? acres of crop A, and acres of crop B.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage