Production Two factories produce three different types of kitchen appliances. The following table summarizes the production capacities, the numbers of each type of appliance ordered, and the daily operating costs for the factories. How many days should each factory operate to fill the orders at minimum cost?
Factory 1 | Factory 2 | NumberOrdered | |
Appliance 1 | 80/day | 20/day | 1600 |
Appliance 2 | 10/day | 10/day | 500 |
Appliance 3 | 50/day | 20/day | 1900 |
Daily cost | $10,000 | $20,000 |
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Additional Math Textbook Solutions
Introductory Combinatorics
Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
- Cell Phone Plans Gwendolyn is mulling over the three cell phone plans shown in the table. Gigabytes GB of data included Monthly Cost Each additional megabytes MB Plan A Plan B Plan C 1 1 1 25.00 40.00 60.00 2.00 1.50 1.00 From past experience, Gwendolyn knows that she will always use more than 1GB of cell phone data every month. aMake table of values that shows the cost of each plan for 1 GB to 4 GB, in 500 MB increments. bFind formulas that give Gwendolyns monthly cost for each plan, assuming that she uses x gigabytes of data per month where x1. cWhat is the charge from each plan when Gwendolyn uses 2.2 GB? 3.7 GB? 4.9 GB? d Use your formulas from part b to determine the number of gigabytes of data usage for which: (i) Plan A and Plan B give the same cost. (ii) Plan A and Plan C give the same cost. (iii) Plan B and Plan C give the same cost.arrow_forwardCars produces cars in Atlanta (5,000 cars), Boston (5,500 cars) and Chicago (4,000 cars). These cars are shipped to Memphis, Milwaukee, and N.Y. Demand is given as 6,000 in Memphis, 4,000 in Milwaukee and 4,000 in Chicago. The transportation costs for shipping a car from city i to city j are given below. To From Atlanta Boston Memphis 371 Milwaukee 761 N.Y. 861 206 1,296 530 1,050 87 Chicago 802 a) Formulate a balanced transportation problem that can be used to minimize Cars' transportation costs. b) Find a basic feasible solution to the problem.arrow_forwardAn automobile dealer expects to sell 200 cars a year. The cars cost $9000 plus a fixed charge of $1000 per delivery. If it costs $1000 to store a car for a year, find the order size and the number of orders that minimize inventory costs. Cars per order= ? Orders per year= ?arrow_forward
- The Deinell-Forging-Corporation manufactures four highly confidential products that it supplies to ammunition firms that hold RSA government contracts. Each product must pass through the following departments before being shipped: forging, cleaning, weighing, and inspection. The time requirement in hours for each unit and its corresponding profit value are summarised in the following table: Department Product Forging Cleaning Weighing Inspection |хм122 Unit profit (Rand) 0.6 0.3 0.3 0.5 11000 XJ312 1.5 4 2. 14000 RM122 RM126 1.5 2. 1. 0.5 17000 1. 1.5 13000 Monthly available production in each department and the minimum monthly production requirement to fulfil these contracts are: Сараcity Departme (hours) Product Minimum production level Forging Cleaning Weighing Inspectior 10000 RM126 13000 XM122 130 15000 XJ312 80 24000 RM122 260 320 The production manager needs to specify production levels for each product for the next month. Formulate this problem to help him maximise the total…arrow_forwardThe manager of the Burgle Doodle restaurant wants to determine how many sausage biscuits and ham biscuits to prepare each morning for breakfast customers. Two types of biscuits require the following resources: Biscuit Labor (hr.) Sausage (Ib.) Ham (Ib.) Flour (Ib.) Sausage 0.010 0.10 0.04 Ham 0.024 0.15 0.04 The restaurant has 6 hours of labor available each morning. The manager has a contract with a local grocer for 30 pounds of sausage and 30 pounds of ham each morning. The manager also purchases 16 pounds of flour. The profit for a sausage biscuit is $0.60; the profit for a ham biscuit is $0.50. The manager wants to know how many of each type of biscuit to prepare each morning in order to maximize profit. At the optimal solution, what is the shadow price associated with the Flour constraint? 12.5 We do not have enough information to determine the shadow price. 0 1arrow_forwardThe Burroughs Garment Company manufactures men's shirts and women's blouses for Walmark Discount Stores. Walmark will accept all the production supplied by Burroughs. The production process includes cutting, sewing, and packaging. Burroughs employs 25 workers in the cutting department, 35 in the sewing department, and 5 in the packaging department. The factory works one 8-hour shift, 5 days a week. The following table gives the time requirements and prices per unit for the two garments: Garment Minutes per Unit: Cutting Minutes per Unit: Sewing Minutes per Unit: Packaging Unit Price ($) Shirts 20 70 12 8.00 Blouses 60 60 4 12.00arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL