A linear programming computer package is needed.The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year's program. Advertising alternatives include television,radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown.ConstraintAudience per advertisementCost per advertisementMaximum media usageRadioOnlineTelevision Radio300,000 54,000 120,000$600$2,00010$300Online2010To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 10% of the totalnumber of advertisements authorized.(a) If the promotional budget is limited to $25,100, how many commercial messages should be run on each medium to maximize total audience contact?TelevisionWhat is the allocation of the budget among the three media, and what is the total audience reached?Television BudgetRadio BudgetOnline BudgetTotal Audience(b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.)

To solve this linear programming problem, we need to set up the objective function and constraints,…

Answered: A linear programming computer package…

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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A pet food factory blends four ingredients into three types of pet food: value, premium, and basic. The maximum quantities available of each ingredient and the costs per ounce are given in the table below: Ingredient Maximum pounds available per day Cost per ounce 5,000 $0.5625 2 2,400 $0.4375 3 4,000 $0.7500 4 1,500 $0.3750 The operations manager has placed limits on the component to be added to each blend. The limits and the selling price for each blend are shown in the table below: Variant Component Specifications Selling Price per pound Value Not less than 40% of 1 $12.00 Value Not more than 20% of 2 $12.00 Value Not less than 30% of 3 $12.00 Premium Not less than 40% of 3 $18.00 Basic Not more than 50% of 2 $10.00 Basic Not less than 10% of 1 $10.00 The marketing manager wants to produce at least 3,000 pounds of each variant of pet food. Develop a linear programming model to help the company determine the best mix to produce to maximize profits. Determine the optimal solution and…
The prices have increased/changed from the last question please read carefully
Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins and 160 standard cabins, whereas a type-B vessel has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15-day cruise in May. It costs $41,000 to operate a type-A vessel and $57,000 to operate a type-B vessel for that period. How many of each type of vessel (x type-A and y type-B) should be used in order to keep the operating costs to a minimum? (x, y) = What is the minimum cost?$
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…

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