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 northof 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 tonat 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 pitto each site to minimize the total cost for purchasing and hauling gravel.Hauling Cost per Ton at SitePit13Price per TonNorth$30$60$50$100South$60$30$40$120Now suppose that trucks (and their drivers) need to be hired to do the hauling, where each truck can only be used to haul gravel froma 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. Onlyfull trucks would be used to supply each site.a. Formulate this problem as an assignment problem by constructing the appropriate cost table, including identifying theassignees and tasks.b. Find the optimal assignmenAttach FileBrowse Local FilesBrowse Content Collection

(a) Given that each truck can haul 5 tons of gravel and the cost per truck is five times the hauling…

Answered: A contractor, Susan Meyer, has to haul…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hermey 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 answer
Ace Trucking Company has an order for delivery of three products, A, B, and C. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the carrier can carry 11,800 cubic feet and 14,900 pounds and is insured for $61 comma 800, how many units of each product can be carried? Product A Product B Product C Volume (cu ft) 24 20 80 Weight (lb) 40 30 60 Value ($) 150 180 200
A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 4 to 3. The amount of nitrogen must be at least 42 kg. The percent of nitrogen in the three chemicals is 7%, 3%, and 4%, respectively. If the three chemicals cost $1.08. $0.86, and $0.65 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 750 kg of the plant food? The minimum cost plant food is made with kg of chemical 1 kg of chemical II, andkg of chemical III (Type integers or decimals. Round to one decimal place as needed.)
Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 238.5 hours, only 3325 hours are available for painting, and 684 lbs. of supplies are available. Each Lexi doll requires 0.6 hours of sewing, 10 hours of painting, and 1.8 lbs. of supplies. Each Maysy doll requires 0.8 hours of sewing, 8 hours of painting, and uses 2.4 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 9 hours of painting, and 1.2 pounds of supplies. If the company earns a profit of $135 per Lexi doll, $155 per Maysy doll, and $160 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use a for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P= 135x + 155y + 160z✓ subject to 0.6x +0.8y +0.5z 238.5 <3325 684 10x+8y +9z 1.8z +2.4y+1.2z✓ Enter the solution to the simplex…
Please answer all subparts. I will really upvote
In a manufacturing company, the fixed cost is 8,640. The cost of a labour per unit is RO 12, the cost of materials is RO 3 per unit and the cost of manufacturing overheads is RO 6 per unit. What is the total cost if the company produces 800 units? a. RO 8640 b. RO 25,440 c. RO 9600 d. RO 16,800
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Suppose Nathan, Regina and Maxine go to a donut shop. Nathan buys 3 almond lover, 3 Bavarian kreme and 4 chocolate frosted donuts and ends up spending $14.40. Regina gets 6 of the almond lover, 7 Bavarian kreme and 3 chocolate frosted donuts for a total cost of $27.34. Lastly, Maxine spends $28.31 on 4 almond lover, 8 Bavarian kreme, and 7 chocolate frosted donuts. Assuming x = # of almond lover donuts, y = # of Bavarian kreme donuts, and 2 =# of chocolate frosted donuts, express the system of equations in augmented matrix form below: x y constant How much does each type of donut cost? Each almond lover donut costs $ Each Bavarian kreme donut costs $ Each chocolate frosted donut costs $
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Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…
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