Linear Programming - Staffing
How would you define in linear programming format that an employee has to work 5 consecutive days, and then has 2 days off?
How would you define in linear programming format that an employee has to work 5 consecutive days, and then has 2 days off?
A Company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. _________________________ Hours/Unit _________________ Product Line 1 Line 2 ____________
An industrial home-improvement shop produces custom atrium arches, window frames, and doors. These products are made from mahogany and maple wood. The cost per square foot of mahogany is $ 38 and per square foot of maple is $ 19. The doors are seven feet tall and 4 feet wide and are 50% mahogany and 50% maple. The window
Let n >= 1. Define the subsets U and W in V = F^n as follows: U = {(x_1, . . . , x_n) : x_1 + . . . + x_n = 0} W = {(x_1, . . . , x_n) : x_1 = . . . = x_n} a) Prove that U and V are subspaces of V . b) Prove that V = is the "direct sum" of U and W. c) Let (v_1, . . . v_n) = ((1, 0, . . . , 0), (0, 1, . . . , 0), . . . ,
I'm not sure how to go about finding the optimal solution for part a and b ( please see the attached file it includes my partial solution to the question)
Tom's Inc., produces various Mexican food products and sells them to Whole Foods, a chain of grocery stores located in the United States. Tom's Inc. makes two salsa products: Whole Foods Salsa and Mexico City Salsa. The two products have different blends of whole tomatoes, tomato sauce, and tomato paste. The Whole Foods Salsa
The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2. Max 2x1 + x2 s.t. 4x1 + 1x2 < 400 4x1 + 3x2 < 600
The LP problem whose output follows determines how many necklaces, bracelets, rings, and earrings a jewelry store should stock. The objective function measures profit; it is assumed that every piece stocked will be sold. Constraint 1 measures display space in units, constraint 2 measures time to set up the display in minutes.
The optimal solution of the linear programming problem is at the intersection of constraints 1 and 2. Max 2x1 + x2 s.t. 4x1 + 1x2 < 400 4x1 + 3x2 < 600
Which of the following could be a linear programming objective function? Z = 1A + 2B / C + 3D Z = 1A + 2BC + 3D Z = 1A + 2B + 3C + 4D Z = 1A + 2B2 + 3D all of the above.
In a linear programming problem, the binding constraints for the optimal solution are 5X + 3Y < 30 2X + 5Y < 20. Fill in the blanks in the following sentence: As long as the slope of the objective function stays between _______ and _______, the curren
The owner of Chips etc. produces 2 kinds of chips: Lime (L) and Vinegar (V). He has a limited amount of the 3 ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips requires 2 ounces of salt, 6 ounces of flour, and 1
The linear programming problem whose output follows is used to determine how many bottles of fire red nail polish (x1), bright red nail polish (x2), basil green nail polish (x3), and basic pink nail polish (x4) a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be sol
The linear programming problem whose output follows is used to determine how many bottles of fire red nail polish (x1), bright red nail polish (x2), basic green nail polish (x3), and basic pink nail polish (x4) a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be so
Cully furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet
Question: Cully furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 c
. Max Z = 5x1 + 3x2 Subject to: 6x1 + 2x2 <= 18 15x1 + 20x2 <= 60 x1 , x2 >= 0 Find the optimal profit. Z=? put your answer in the form x.xxx
Please see the attached file for the fully formatted problems.
Please see the attached file for the fully formatted problems.
Destination Source Business Education Parsons Hall Holmstedt Hall Supply BakerHall 10 9 5 2 35 Tirey Hall 12 11 1 6 10 Arena 15 14 7 6 20 Demand 12 20 10 10 1a. If you were going to write this as a linear programming model, how many decision variables would there be, and how many constraints would there be? 1b.
Golf Shafts Inc (GSI) produces graphite shafts for several manufacturers of golf clubs. Two GSI manufacturing facilities one located in San Diego and the other in Tampa, have the capability to produce shafts in varying degrees of stiffness ranging from regular models used primarily by average golfers. GSI just received a contrac
See attached file for full problem description. 13. Diet Mix Problem 1 The dietician for the local hospital is trying to control the calorie intake of the heart surgery patients. Tonight's dinner menu could consist of the following food items: chicken, lasagna, pudding, salad, mashed potatoes and jello. The calories per s
1. Linear Programming Properties Which of the following statements is not true? a) An infeasible solution violates all constraints. b) A feasible solution point does not have to lie on the boundary of the feasible solution. c) A feasible solution satisfies all constraints. d) An optimal solution satisfies all constraints
Steelco manufactures two types of steel at three different steel mills. During a given month, each steel mill has 200 hours of blast furnace time available. Because of the differences in the furnaces at each mill, the time and cost to produce a ton of steel differ for each mill, as listed in the file P04_62.xls. Each month Steel
A) What are 2 possible ways to improve the service rate of a waiting line operation? B) Briefly describe how simulation could be used to assist decision makers in regards to new product development? C) Give an example of how Decision analysis could be used to determine an optimal strategy? Briefly describe several decisio
1. Which of the following is not a reason for the failure of a particular Quantitative analysis technique in solving a problem? a. underestimating the total cost of using quantitative techniques b. failure to define the real problem c. under-emphasis on theory and over-emphasis on application d. underestimating the total
Brooks City has three consolidated high schools, each with a capacity of 1,200 students. The school board has partitioned the city into five busing districts - north, south, east, west, and central - each with different high school student populations. the three schools are located in the central, west, and south districts. Som
Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them. Copy the questions to a Microsoft Word document and use an equation editor to enter the answers. Please answer the following question
Problem 1: Break-Even Analysis A small organization builds TV satellite dishes. The investment in plant and equipment is $200,000. The variable cost per dish is $500. The price of the TV dish is $1000. (Please show your work used to come up with this solution) 1. How many TV satellite dishes would be needed to be sold f
2. Igor Bender operated a farm under the former Russian collective farm system. The collective farm raised hogs for distribution by the central government as its main activity. Previously, Igor was told how many hogs to raise each year by Moscow's central planning agency and was allocated the necessary animal feed to raise the