2. A banquet hall offers two types of tables for rent: 6-person rectangulartables at a cost of $27 each and 10-person round tables at a cost of $46each. You would like to rent the hall for a wedding banquet and needtables for 230 people. The room can have a maximum of 39 tables andthe hall only has 15 rectangular tables available. How many of each typeof table should be rented to minimize cost? What is the minimum cost?

Answered: Image /qna-images/answer/00af32ff-a0d4-4009-838e-64a5c87a5e07.jpg

Answered: 2. A banquet hall offers two types of…

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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Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 208 grams of protein and at least 178 grams of fat. If chicken costs 11¢ per ounce and grain costs 1¢ per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost?
Taylor LTD Company produces a product. Let q be the number of units sold. The variable cost is $6q and the fixed cost is $ 116 000. Each unit has a selling price of $11.4. a) Determine the total revenue equation. b) Determine the total cost equation. c) Determine the profit equation. d) Determine the number of units that must be sold for the company to earn a profit of $54 000. e) Determine the minimum number of units that must be sold for the company to earn a profit.
A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs $2.40 per gallon, and milk from dairy II costs $0.80 per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 55 gallons averaging 3.7% butterfat, and dairy II can supply at most 80 gallons averaging 2.9% butterfat. Answer parts a and b. a. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount of butterfat? The company should buy gallons from dairy I and gallons from dairy II. What is the maximum amount of butterfat? gallons (Type an integer or a decimal.) b. The solution from part a leaves both dairy I and dairy II with excess capacity. Calculate the amount of additional milk each dairy could produce. The excess capacity of dairy I is gallons, and for dairy II it is gallons. Is there any way all this capacity could be used while still meeting the other constraints?…
kindly answer items (d) and (e)
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit? b) Generate the Sensitivity Report for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
both sheets are for the same problem.
You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular pool walls cost $15 per foot (regardless of how deep the pool is), and the infinity pool wall costs $35 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs?

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