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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Make-or-Buy Decision Somerset Computer Company has been purchasing carrying cases for its portable computers at a purchase price of $62 per unit. The company, which is currently operating below full capacity, charges factory overhead to production at the rate of 43% of direct labor cost. The unit costs to produce comparable carrying cases are expected to be as follows: Direct materials $24 Direct labor 16 Factory overhead (43% of direct labor) 6.88 Total cost per unit $46.88 If Somerset Computer Company manufactures the carrying cases, fixed factory overhead costs will not increase and variable factory overhead costs associated with the cases are expected to be 14% of the direct labor costs. a. Prepare a differential analysis dated April 30 to determine whether the company should make (Alternative 1) or buy (Alternative 2) the carrying case. If required, round your answers to two decimal places. If an amount is zero, enter "0".
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: Constraint Television Radio Online Audience per advertisement 100,000 16,000 35,000 Cost per advertisement $1,500 $250 $650 Maximum media usage 10 24 14 To 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 total number of advertisements authorized. (a) If the promotional budget is limited to $18,400, how many commercial messages should be run on each medium to maximize total audience contact? If your answer is zero enter "0". No of commercial Advertisement Alternatives messages Television Radio Online What is the allocation of the budget…
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…
Explain how the various changes to LP affect the optimal solution. a) Changes to the objective function coefficient b) Changes to the RHS of a constraint
Epsilon Airlines services predominately the eastern and southeastern United States. A vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phone. Epsilon employs call-center personnel to handle these reservations along with any problems with the website reservation system and for the rebooking of flights for customers if their plans change or their travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers. Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are given in the following table. Day Minimum Number ofEmployees Needed Monday 80 Tuesday 60 Wednesday…
Type the linear program, optimal solution, and objective function value in a word document. Submit your excel file.

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