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. Constraint Audience per advertisement 200,000 36,000 80,000 Cost per advertisement Maximum media usage 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. Radio Online Television Radio Online $2,000 Radio Budget Online Budget Total Audience 10 $300 $600 20 (a) If the promotional budget is limited to $20,500, how many commercial messages should be run on each medium to maximize total audience contact? Television 10 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (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.)

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. Constraint Audience per advertisement 200,000 36,000 80,000 Cost per advertisement Maximum media usage 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. Radio Online Television Radio Online $2,000 Radio Budget Online Budget Total Audience 10 $300 $600 20 (a) If the promotional budget is limited to $20,500, how many commercial messages should be run on each medium to maximize total audience contact? Television 10 What is the allocation of the budget among the three media, and what is the total audience reached? Television Budget (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.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

See similar textbooks

Similar questions

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. Constraint Television Radio Online Audience per advertisement 400,000 72,000 160,000 Cost per advertisement $2,000 $300 $600 Maximum media usage 10 20 10 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. If the promotional budget is limited to $20,500, 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.)
A linear programming computer package is needed. Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse operates with two full-time employees who work 8 hours per day. The rest of the employees are part-time employees who are scheduled for 4-hour shifts during peak meal times. On Saturdays the steakhouse is open from 11:00 a.m. to 10:00 p.m. Management wants to develop a schedule for part-time employees that will minimize labor costs and still provide excellent customer service. The average wage rate for the part-time employees is $7.60 per hour. The total number of full-time and part-time employees needed varies with the time of day as shown. Time Number of Employees Needed 11:00 a.m.–Noon 9 Noon–1:00 p.m. 9 1:00 p.m.–2:00 p.m. 9 2:00 p.m.–3:00 p.m. 3 3:00 p.m.–4:00 p.m. 3 4:00 p.m.–5:00 p.m. 3 5:00 p.m.–6:00 p.m. 6 6:00 p.m.–7:00 p.m. 12 7:00 p.m.–8:00 p.m. 12 8:00 p.m.–9:00 p.m. 7 9:00 p.m.–10:00…
Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. Please note that each tricycle requires two rear wheels, the front wheel is included in the front wheel-pedal assembly. The company has orders for 15,000 of these tricycles. Current schedules yield the following information: component plastic time space cost to manufacture cost to purchase front 2 11 2 7 11 seat/frame 3 7 2 6 10 rear 0.5 2.5 0.2 2 5 available 60000 180000 35000 The company obviously does not have the resources available to manufacture everything needed for the completion of 15,000 tricycles so has gathered purchase information for each component. Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 15,000 fully completed tricycles at the minimum cost. (state the objective function, decision…
Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. Please note that each tricycle requires two rear wheels, the front wheel is included in the front wheel-pedal assembly. The company has orders for 15,000 of these tricycles. Current schedules yield the following information: component plastic time space cost to manufacture cost to purchase front 2 11 2 7 11 seat/frame 3 7 2 6 10 rear 0.5 2.5 0.2 2 5 available 60000 180000 35000 Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 15,000 fully completed tricycles at the minimum cost. Use Excel's Solver to obtain the optimal solution. How many of each component should be manufactured vs. purchased? What is the overall cost? What are the binding constraints? Upload a screenshot of the spreadsheet that you used…
A linear programming computer package is needed. The Silver Star Bicycle Company will be manufacturing both men's and women's models for its Easy-Pedal 10-speed bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men's and 125 women's models to be shipped during the first month and 200 men's and 150 women's models to be shipped during the second month. Additional data are shown. Model Production Costs Labor Requirements (hours) Current Inventory Manufacturing Assembly Men's $120 2.0 1.5 20 Women's $90 1.6 1.0 30 Last month the company used a total of 1,000 hours of labor. The company's labor relations policy will not allow the combined total hours of labor (manufacturing plus assembly) to increase or decrease by more than 100 hours from month to month. In addition, the company charges monthly inventory at the rate of 2% of the…
Terry, Inc., makes gasoline storage tanks. All production is done under contract. The company makes three basic models, but each model must be adapted to customer specifications for the location of outlets, insulation, and paint. It takes from three to six months to complete a tank. How should Terry account for the income for the business?
I need help in formulating the constraints for this problem. So, help with part (a) is all I need.
Courtney Kamauf schedules production of a popular Rustic Coffee Table at Kamauf Enterprises, Inc. The tablerequires a top, four legs, 18 gallon of stain, 116 gallon of glue, 2 shortbraces between the legs and 2 long braces between the legs, anda brass cap that goes on the bottom of each leg. She has 100 gallons of glue in inventory, but none of the other components. Allitems except the brass caps, stain, and glue are ordered on a lotfor-lot basis. The caps are purchased in quantities of 1,000, stainand glue by the gallon. Lead time is 1 day for each item. Schedulethe order releases necessary to produce 640 coffee tables on days5 and 6, and 128 on days 7 and 8.
Instead of manufacturing the same product from a fixed materials list, dell corporation, a renowned computer manufacturer, combines a fixed materials list with a flexible materials list, one where the flexibility is tied into the options customers choose. for example, the core body/product of computer (excelsior) stays fixed and is made from a fixed materials ligt. however, the customer can choose from a customized solution with minimal delivery times such as different color options, sizes and coating. once those options are chosen, the customer's order triggers demand through the company's supply chain discuss the push pull boundary of dell corporation by identifying different cycles in the push and pull phase. (400 words)
The ATV Corporation makes three models of all-terrain vehicles: Model A, Model B, and Model C. Model A uses a 0.4-liter engine, Model B uses a 0.5-liter engine, and Model C uses a 0.6-liter engine. The aggregate production plan is the twelve-month plan that combines all three models together in total monthly production. The planning horizon is twelve months. The APP determines the size of the workforce, which is the constrained resource. Assume that the beginning inventory for January and that the desired monthly ending inventory is 120 units (30 units each of Model A and Model B, and 60 units of Model C), and the firm desires to have an ending inventory of 160 units at the end of the year. On average, one unit of ATV requires eight labor hours to produce, and a worker contributes 160 hours (8 hours × 5 days × 4 weeks) per month. The data has been collected in the Microsoft Excel Online file attached. Answer the question below: 1. What are the totals of the forecast demand (including…
The ATV Corporation makes three models of all-terrain vehicles: Model A, Model B, and Model C. Model A uses a 0.4-liter engine, Model B uses a 0.5-liter engine, and Model C uses a 0.6-liter engine. The aggregate production plan is the twelve-month plan that combines all three models together in total monthly production. The planning horizon is twelve months. The APP determines the size of the workforce, which is the constrained resource. Assume that the beginning inventory for January is 120 units (30 units each of Model A and Model B, and 60 units of Model C). The firm desires to have an ending inventory of 160 units at the end of the year. On average, one unit of ATV requires eight labor hours to produce, and a worker contributes 160 hours (8 hours × 5 days × 4 weeks) per month. The data has been collected in the Microsoft Excel Online file attached. Answer the question below: 1. What are the totals of the forecast demand (including inventory adjustment for December), production,…
Please help solve the solution below. I need to have this done in 45 minutes and I am struggling to solve my last questions. Problem 2: Comp-Max Computers assembles computers and computer equipment. It is about to start production of threenew types of computers, called model X, Y, and Z, respectively. Each type will require assembly time, inspection time, andstorage space. The availability of each of these resources is limited. Specifically, available assembly time is 400 hours, available inspection time is 300 hours, and available storage space is 500 cubic feet (about 14.2 ms). The amount of eachresource required for the different products is reported in the table below. Model X earns a profit of $100 per unit, model Yearns a profit of $125 per unit, and model 2 earns a profit of $200 per unit. Due to some prior agreements with customers,Comp-Max must produce at least 12 model X computers. In addition, management requires that the fraction of totalproduction made up of model 2…