2. Formulate but do not solve the following exercise as a linear programming problem. ABC manufactures three models of Bluetooth speakers: A, B and C. Each model A costs $11 to make, each model B costs $15 each model C costs $22. The profits are $26 for each model A. $40 for each model B and $42 for each model C Bluetooth speaker. The total number of Bluetooth speakers demanded per month does not exceed 3,400 and the company has earmarked no more than $63,000/month for manufacturing costs. How many units of each model should ABC make each month in order to maximize its monthly profits? What is the optimal profit? (do not solve) Complete the following: A) B) C) D) Define the variables and what they represent (example: x = number of dozens of blue socks). Create a table using the variables and values from the problem. State the objective function. State the constraints.

2. Formulate but do not solve the following exercise as a linear programming problem. ABC manufactures three models of Bluetooth speakers: A, B and C. Each model A costs $11 to make, each model B costs $15 each model C costs $22. The profits are $26 for each model A. $40 for each model B and $42 for each model C Bluetooth speaker. The total number of Bluetooth speakers demanded per month does not exceed 3,400 and the company has earmarked no more than $63,000/month for manufacturing costs. How many units of each model should ABC make each month in order to maximize its monthly profits? What is the optimal profit? (do not solve) Complete the following: A) B) C) D) Define the variables and what they represent (example: x = number of dozens of blue socks). Create a table using the variables and values from the problem. State the objective function. State the constraints.

Name: Ses13 1419 20 2126 27Point 5:2.Formulate but do not solve the followi
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Ses13 1419 20 2126 27Point 5:2.Formulate but do not solve the following exercise as a linear programming problem.ABC manufactures three models of Bluetooth speakers: A, B and C. Each model A costs $11 to make,each model B costs $15 each model C cost

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

Similar questions

A company has $12,890 available per month for advertising. Newspaper ads cost $190 each and can't run more than 22 times per month. Radio ads cost $590 each and can't run more than 30 times per month at this price. Each newspaper ad reaches 5950 potential customers, and each radio ad reaches 7400 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements . Maximize P = subject to < 22 < 30 < $12, 890 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is рeople
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…
Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing. The profit per roll of Grade X carpet is $200, and the profit per roll of Grade Y carpet is $160. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility). The company has 1500 units of foam backing available for use. What are the binding constraints of the feasible region of the optimal solution? Constraint 2 only Constraint 1 only…
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
A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling is 3200 minutes, and the total available time for packaging is 960 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week? Note that the ALEKS graphing calculator can be used to make computations easier. k trol Model A: unit(s) Model B: unit(s) Continue 1 Q A 2 option X NO 2 Z W S 5 # 3 ME P X E H command $ 4 D 9 R C % 5 F T A V 6 FO G Y 8 7 B Submit A © 2023 McGraw HRLLC Al Rights Reserved forms of Use | Plicy Center the # WY 8 U Deft FN J N 3 9 K M O < P 1 g
Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40 a) Generate the Answer Report using SOLVER in EXCEL. Then, clearly answer what is the optimal solution? What is the resulting profit? b) Generate the Sensitivity Report for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints. Include units in your interpretations.
A company has $11,270 available per month for advertising. Newspaper ads cost $180 each and can't run more than 21 times per month. Radio ads cost $570 each and can't run more than 34 times per month at this price. Each newspaper ad reaches 7200 potential customers, and each radio ad reaches 7800 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements. subject to Maximize P - 21 <34 <$11, 270 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is people