Resource Allocation Your salami manufacturing plant can order up to 1,000 pounds of pork and 2,400 pounds of beef per day for use in manufacturing its two specialties: Count Dracula Salami and Frankenstein Sausage. Production of the Count Dracula variety requires 1 pound of pork and 3 pounds of beef for each salami, while the Frankenstein variety requires 2 pounds of pork and 2 pounds of beef for every sausage. In view of your heavy investment in advertising Count Dracula Salami, you have decided that at least one third of the total production should be Count Dracula. On the other hand, because of the health-conscious consumer climate, your Frankenstein Sausage (sold as having less beef) is earning your company a profit of $9 per sausage, while sales of the Count Dracula variety are down and it is earning your company only $1 per salami. Given these restrictions, how many of each kind of sausage should you produce to maximize profits, and what is the maximum possible profit (in dollars)? Dracula Salamis Frankenstein Sausages profit

Resource Allocation Your salami manufacturing plant can order up to 1,000 pounds of pork and 2,400 pounds of beef per day for use in manufacturing its two specialties: Count Dracula Salami and Frankenstein Sausage. Production of the Count Dracula variety requires 1 pound of pork and 3 pounds of beef for each salami, while the Frankenstein variety requires 2 pounds of pork and 2 pounds of beef for every sausage. In view of your heavy investment in advertising Count Dracula Salami, you have decided that at least one third of the total production should be Count Dracula. On the other hand, because of the health-conscious consumer climate, your Frankenstein Sausage (sold as having less beef) is earning your company a profit of $9 per sausage, while sales of the Count Dracula variety are down and it is earning your company only $1 per salami. Given these restrictions, how many of each kind of sausage should you produce to maximize profits, and what is the maximum possible profit (in dollars)? Dracula Salamis Frankenstein Sausages profit

Name: Resource Allocation Your salami manufacturing plant can order up to 1
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Resource Allocation Your salami manufacturing plant can order up to 1,000 pounds of pork and 2,400 pounds of beef per day for use in manufacturing its two specialties: Count Dracula Salami and Frankenstein Sausage. Production of the Count Dracula va

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: B. A firm manufactures 2 product, A and B. Each product is processed by machines, M₁ and M₂. Each…

Q: A company makes ceramic and porcelain tiles. They produce three different grades of tile, each of…

Q: A company produces two kinds of products. A product of the first type requires 3 hours of assembly…

A: Product (A) = X Market value = $21Assembly labour = 3 hours Testing = 3/2 hours Raw material = $2…

Q: A farmer has decided to make his own feed by combining alfalfa and corn by the truckload. A…

A: Part 1. The objective is to determine the constraint which will have surplus. Part 2. Optimal…

Q: Appliance Wholesalers, LLC assembles coffee makers that use grounds and cup style coffee makers in…

A: we have to form a linear programming problem and solve it by using graphical method

Q: Formulate a dynamic programming recursion that minimize the costs related to the opening new…

A: As per the question, G-Motor, a leading manufacturer of airplane engines, faces the strategic…

Q: You are the owner of a bakery that sells two types of small cakes: strawberry and chocolate. Making…

A: Let x represents the number of strawberry cake and y represents the number of chocolates cakes. From…

Q: A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 340 cases of…

A: High capacity truck Low capacity truck AvailabilityCost People qualified to driveMaximum number of…

Q: Ace Construction Company builds two kinds of driveways: asphalt and concrete. For a typical home, an…

A: Two kind of driveways are expected to built: 1.Asphalt -100 unit 2.Concrete-75 unit Where Asphalt…

Q: A refinery has two smelters that extract metallic iron ore. Smelter A pro- cesses 1000 tons of iron…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: The Douro Wine Company produces two kinds of wine — Douro Nectar and Douro Red. The wines are…

A: The solution of this question is given below:

Q: Succulent Citrus produces orange juice and orange concentrate. This year the company anticipates a…

A: The objective of this question is to determine the number of quarts of orange juice and orange…

Q: A local manufacturer makes its dog treats using two different flavors: Beef (B) & Chicken (C). Each…

Q: Appliance Wholesalers, LLC assembles coffee makers that use grounds and cup style coffee makers in…

Q: A department store sells three different types of televisions: small, medium, and large. The store…

A: Let be number of small, medium and large television sets.From the given information, formulate the…

Q: Your small farm encompasses 100 acres, and you are planning to grow tomatoes, lettuce, and carrots…

A: First, formulate the Linear Programming Problem, then solve it using the simplex(Big M) method.

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: A company manufactured two types of skis: Trick ski and Slalom ski. A table is given that represents…

Q: tables and chests. Producing a chair requires 2 hours of construction and 1 hour of painting.…

Q: A produce grower is purchasing fertilizer containing 3 nutrients: A, B and C. The minimum weekly…

A: (a) Write down the LP Model. In Blend 1,the number of units of the nutrient of A is 2n .In Blend…

Q: A food factory produces two kinds of pizza: standard and healthy. The healthy one uses 0.05kg white…

A: Let x represents the number of standard pizza and y represents the number of healthy pizza. From the…

Q: Henry Lee is the Vice President of Purchasing for the consumer electronics division of the Major…

Q: A local brewery produces three types of beer: premium, regular and light. The brewery has enough vat…

A: Problem is Max Z = 3 x1 + 2.4 x2 + 2.8 x3 subject to x1 + x2 + x3 ≤…

Q: Zytel Corporation produces cleaning compounds and solutions for industrial and household use. While…

A: Given data in the problem isProduct cost per pound = $ 1.60Selling price per pound = $ 2.80Margin =…

Q: Blue Ridge Hot Tubs manufactures and sells two models of hot tubs: the Aqua-Spa and the Hydro-Lux.…

Q: Jenck's Homemade Ice Cream, LLC is planning its production for next week. As there is a current…

A: We can formulate the problem as follows: Let x be the number of hundred-gallon units of chocolate…

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

Q: Protective Research, Inc. received an order to produce a specially designed fence for preventing…

A: We will construct a linear programming problem according to the given conditions and solve it using…

Topic Video

Question

Resource Allocation Your salami manufacturing plant can order up to 1,000 pounds of pork and 2,400 pounds of beef per day for use in manufacturing its two specialties: Count Dracula Salami and Frankenstein Sausage. Production of the Count Dracula variety requires
1 pound of pork and 3 pounds of beef for each salami, while the Frankenstein variety requires 2 pounds of pork and 2 pounds of beef for every sausage. In view of your heavy investment in advertising Count Dracula Salami, you have decided that at least one third of the
total production should be Count Dracula. On the other hand, because of the health-conscious consumer climate, your Frankenstein Sausage (sold as having less beef) is earning your company a profit of $9 per sausage, while sales of the Count Dracula variety are down
and it is earning your company only $1 per salami. Given these restrictions, how many of each kind of sausage should you produce to maximize profits, and what is the maximum possible profit (in dollars)?
Dracula Salamis
Frankenstein Sausages
profit
$

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mg of vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pils, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.05m + 0.06h subject to 500m + 100h 2 2700 200m + 150h 2 2400 100m + 150h 2 1800 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pilts that moets the walrus's…
Succulent Citrus produces orange juice and orange concentrate. This year the company anticipates a demand of at least 12,000 quarts of orange juice and 1,500 quarts of orange concentrate. Each quart of orange juice requires 10 oranges, and each quart of concentrate requires 50 oranges. The company also anticipates using at least 270,000 oranges for these products. Each quart of orange juice costs the company 50¢ to produce, and each quart of concentrate costs $2.00 to produce. How many quarts of each product should Succulent Citrus produce to meet the demand and minimize total costs? orange juice qt qt orange concentrate
XYZ Corporation operates two plants, each of which has a capacity of 200 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 17 units per day while customer D has a demand of 349 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 25 19 12 14 Plant 2 15 21 23 20 How many units should XYZ ship from each plant to each customer?
Eaton's Chocolates produces semisweet chocolate chips and milk chocolate chips at its plants in Bay City and Estancia. The Bay City plant produces 3,000 pounds of semisweet chips and 2,000 pounds of milk chocolate chips each day at a cost of $1,000, while the Estancia plant produces 1,000 pounds of semisweet chips and 6,000 pounds of milk chocolate chips each day at a cost of $1,500. Eaton's has an order from SafeNShop Supermarkets for at least 30,000 pounds of semisweet chips and 60,000 pounds of milk chocolate chips. How should it schedule its production so it can fill the order at minimum cost? Bay City days Estancia
An agricultural company markets two types of food compounds for animals. The first contains 4 units of nutrient A and 2 units of nutrient B, the second contains 2 units of the prime nutrient A and 3 units of the nutrient prima B. You want to achieve a diet that provides at least 20 units of A and 18 units of B. If the cost of one unit of the first compound is $2 USD and the second is $2.5 USD, calculate how much of each type of compound must be taken for a minimum cost.
A bakery gets milk from two dairies then blends the milk to get the desired amount of butterfat for use in the company's best selling product. Milk from dairy I costs $2.10 per gallon, and milk from dairy Il costs $0.70 per gallon. The company has at most $140 available for purchasing milk. Dairy I can supply at most 54 gallons of milk averaging 3.8% butterfat and dairy II can supply at most 88 gallons of milk averaging 3.2% butterfat. The blend can contain no more than 100 gallons of milk and should contain the maximum amount of butterfat. (a) Let x be the number of gallons of milk from dairy I and let y be the number of gallons of milk from dairy II. State the objective function. Maximize z= (b) Excluding nonnegativity constraints, how many constraints are needed for this model? (b) How much milk from each dairy should the bakery use? Round your answers to the nearest integer as needed. gallons from dairy I and gallons from dairy II. (c) What is the maximum amount of butterfat? Round…
An animal food must provide 60 units of vitamins and 67 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 7¢, a gram of meat byproducts 9¢, and a gram of grain 10¢. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? (b) What is the minimum cost? (a) Set up the initial tableau for the dual maximum problem. Fill in the missing entries. X2 S1 S2 S3 2.5 1 4.5 3 10 10