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. 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. Given the promotional budget is $18,200, formulate the linear programming problem.

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. 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. Given the promotional budget is $18,200, formulate the linear programming problem.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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".
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Groovy Juice Mixers produces juices, Tropical breeze and Guava Jive. These Juices are both made by blending three ingredients, Grape, guava and Papaya. A certain level of flexibility is permitted in the formulae for these products. The allowable percentages, along with revenue and cost data, aregiven in the following table. Up to 60 gallons of Grape, 80 gallons of Guava and 60 gallons of papaya could be purchased. Groovy can sell as much of these juices as it produces. Juices Ingredient Grape Ingredient Guava Ingredient Papaya Sales price per gallon Tropical Breeze At most 25% At least 20% At Most 25% At Least 20% 8 Guava Jive At most 50% At least 40% At most 5% 7 Cost per Gallon 1.5 2.5 1.5 Formulate an LP whose objective is to maximize the net profit from the sale of the juices.
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…
While trying to create the perfect breakfast for your children, you have determined that EXACTLY 22 grams of protein, 38 grams of carbohydrates, and 8.5 grams of fat send your kids to school in the best possible mood. Serving the following three items, how much of each should you serve to achieve your nutritional goals? Honey Nut Cheerios© nutritional data (per 0.75 cup serving) Calories 105 Sugar 9 grams Fat 1.5 grams Carbohydrates 22 grams Protein 2 grams Quaker Oatmeal© nutritional data (per 1 packet serving) Calories 170 Sugar 12 grams Fat 2 grams Carbohydrates 32 grams Protein 4 grams The last piece of their meal is uncured turkey bacon nutritional data (per 1 slice). Calories 40 Sugar 0 grams Fat 2 grams Carbohydrates 0 grams Protein 6 grams You have determined you should serve servings of cereal, servings of oatmeal, and servings of turkey bacon in order to serve your kids the food they like and meet your nutritional goals.
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Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: The Martinez Model Car Company produces four different radio-controlled model cars based on exotic production models: Ferrari, BMW, Lotus, and Tesla. Each model requires production in five departments: molding, sanding, polishing, painting, and finishing. The number of minutes required for each product in each department, the selling price per unit, and the minutes available in each department each day are shown below.
ou are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.+ Your home has 40 light fittings and 1,300 square feet of uninsulated exterior wall. You can spend no more than $1,400 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs
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The budget for a project on voting trends includes $3000 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 16 interviews for $100. Each graduate student will conduct 21 interviews for $150. Each faculty member will conduct 25 interviews for $200. No more than 17 interviewers can be hired. How many of each type of interviewer should be hired in order to maximize the number of interviews? What is the maximum number of interviews? undergraduate students, graduate students, and faculty members should be hired to maximize the number of interviews. The maximum number of interviews is (Type a whole number.) C
An electronics retailer list the sales (in thousands) of certain products in three cities for the prior quarter. During that period tablets sold for $243, laptops sold for $763, cell phones sold for $158, and DVR sold for $661. City 1 City 2 City 3 Tablets 78 68 42 Laptop Computers 53 30 34 Cell Phones 54 67 61 Personal DVR 66 41 48 City 1's total sales : thousand dollars City 2's total sales : thousand dollars City 3's total sales : thousand dollars