The production line employees at Grummins Enginework four days per week, 10 hours per day. Eachday of the week, the following minimum numbers ofline employees are needed: Monday through Friday,70 employees; Saturday and Sunday, 30 employees.Grummins employs 110 line employees. Determinehow to maximize the number of consecutive days offreceived by these employees. For example, a workerwho gets Sunday, Monday, and Wednesday offreceives two consecutive days off.

Q: Furnco manufactures tables and chairs. Each table andchair must be made entirely out of oak or…

A: Let ‘a’ be the number of Oak tables. Let ‘b’ be the number of Pine tables. Let ‘c’ be the number of…

Q: During the next three months Airco must meet (ontime) the following demands for air conditioners:…

A:

Q: C-Town Brewery brews two beers: Expansion Draft and Burning River. Expansion Draft sells for $20 per…

A:

Q: Furnco manufactures tables and chairs. A table requires40 board ft of wood, and a chair requires 30…

A: Let ‘x’ be the number of unfinished tables. Let ý’ be the number of unfinished chairs. Let ‘a’ be…

Q: The Pine Valley Board of Education must hire teachers for the coming school year. The types of…

A: Formulate Goal programming (GP) model as under Decision variables: Let x1, x2, x3, x4, x5, x6 be the…

Q: (a) Formulate a linear programming model for maximizing total profit contribution. (Let  Pi =units…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Each day, workers at the Gotham City Police Departmentwork two 6-hour shifts chosen from 12 A.M. to…

A:

Q: A plumbing repair company has 3 employees and must choose which of 3 jobs to assign each to (each…

A: Given that - A plumbing repair company has 3 workers. Cost table of employees-   Employee 1…

Q: During the next two months an automobile manufacturer must meet (on time) the following demands for…

A: Given information,  Month 1 - Truck - 400                   Car - 800    Month 2 - Truck  - 300…

Q: VOOM has four warehouses 1, 2,3, and 4. VOOM needs to supply 100 Tons to retailer P, 300 Tons to…

A: formulate a spreadsheet to solve the problem using linear programming as follows:

Q: During each four-hour period, the Smalltown police force requires the following number of on-duty…

A: Given data is Time slot Police officers needed Midnight to 4 a.m. 4 4 a.m. to 8 a.m. 4 8…

Q: Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and…

A: Shadow price refers to the extent to which the objective function value can be improved without…

Q: Aluminaca produces 100-foot-long, 200-foot-long,and 300-foot-long ingots for customers. This…

A: In Any organization, material cost is one of the most important expenses. It occupies the largest…

Q: XYZ Inc. produces two types of paper towels, called  regular and super-soaker. Regular uses 2 units…

A: Given,  XYZ produces two products:  i) Regular Towel Paper (uses 2 units of recycled paper per unit)…

Q: There are three factories on Momiss River. Each emits two types of pollutants, labeled P1  and P2,…

A: Factors in LP models are accepted to display proportionality. Proportionality manages the commitment…

Q: During the next two months an automobile manufacturer must meet (on time) the following demands for…

A: a)   Month 1 700           Cost of Steel  Month 2 800             Truck  100…

Q: A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chef's knife.…

A: B = Number of basic sets to be made R = Number of regular sets to be made D = Number of Deluxe sets…

Q: Each year, Paynothing Shoes faces demands (whichmust be met on time) for pairs of shoes as shown in…

A: Let, xt be the number of workers hired at the start of the quarter t in which t can be 1, 2, 3, and…

Q: 2. Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A jewelry store makes necklaces and bracelets from gold and platinum. The store has 18 ounces of…

A: Linear programming, numerical displaying method in which a linear capacity is expanded or limited…

Q: A large department store operates 7 days a week. The manager estimates that the minimum number of…

A: Decision variables: The seven shifts will be required to schedule employees for 5 consecutive days…

Q: Kane Manufacturing has a division that produces two models of grates, model A and model B. To…

A: Given data is, For model A: Cast iron required = 3 pounds Labor required = 6 minutes Profit = $2 For…

Q: During each 4-hour period, the Smalltown police forcerequires the following number of on-duty police…

A: Step-1: Define, decision variables as show below: x1 = number of employees who start working at the…

Q: AutoIgnite produces electronic ignition systems for automobiles at a plant in Cleveland, Ohio. Each…

A: 1) It is asked to formulate a linear programming model that can be used to develop a daily…

Q: The Bright Light Company produces two light fixtures (products 1 and 2) that require both metal…

A: a.

Q: These constraints translate mathematically to X, 2 .2(x, + x2 + x3 + x4) x2 2 .1(x, + x2 + x3 + x4)…

A:

Q: A company manufactures paring knives and pocket knives. Each paring knife requires 3 labor-hours, 7…

A: This question is related to the topic decision making and this topic falls under the operations…

Q: Tower Company produces and sells two products; B740 and C740. The company estimated the sales of the…

A: A production budget refers to the number of products that are needed to be produced. And, to…

Q: CWD Oil produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per…

A: a., b., c., d. Max Z = 0.3 R + 0.5 P subject to  0.3R + 0.6P <= 18000 R+P <= 50000…

Q: Juiceco manufactures two products: premium orange juice and regular orange juice. Both products are…

A: Decision variables:

Q: During the next four months, a construction firm mustcomplete three projects. Project 1 must be…

A: We set up a maximum flow problem as follows.  Consider a graph with 9 nodes. A source so, a sink si,…

Q: A company manufactures paring knives and pocket knives. Each paring knife requires 3 labor-hours, 7…

A: Decision variable:   Suppose-X represents the no. of pairing knivesY represents the no. of pocket…

Q: A production department requires different numbers of full-time employees on different days of the…

A: Please note we are integrating all the part in to a and B.] a) Min C1X1 + C2X2 + C3X3 + C4X4 + C5X5…

Q: CWD Oil produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per…

A: An optimal solution is a plausible solution where the objective function arrives at its greatest (or…

Q: During the next four quarters, Dorian Auto must meet(on time) the following demands for cars:…

A:

Q: Chandler Oil Company has 5,000 barrels of oil 1 and10,000 barrels of oil 2. The company sells two…

A:

Q: A plumbing repair company has 3 employees and must choose which of 3 jobs to assign each to (each…

A: Assignment ModelThe decision variables (DVs) are A1,A2 and A3 denoting the assignment of employee A…

Q: Eli Daisy produces the drug Rozac from fourchemicals. Today they must produce 1,000 lb of the…

A:

Q: Formulate an LP

A: For the above question, we can assume the variables as follows: Let X1 be the number of workers who…

Q: Each day, workers at the Gotham City Police Department work two 6-hour shifts chosen from 12 A.M to…

A: Constraint 1                                     x1 + x2 + x3  ≥ 15 Constraint 2…

Q: A library must build shelving to shelve 200 4-inch highbooks, 100 8-inch high books, and 80 12-inch…

A: Following the hint we compute the costs Cij = 2300+5.j.0.5. Number of books of height >i and ≤j…

Q: 60. Ford has four automobile plants. Each is capable of producing the Focus, Mustang, or Taurus, but…

A: Given:  The details of plants, fixed cost, cars to be made, the demand of the cars and variable cost…

Q: Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and…

A: The linear programming problem can be solved as follows :  Step 1 ) Put the data onto the…

Q: 60. Ford has four automobile plants. Each is capable of producing the Focus, Mustang, or Taurus, but…

A: Given data,

Q: Feedco produces two types of cattle feed, bothconsisting totally of wheat and alfalfa. Feed 1 must…

A: Let ‘wf1’ be the wheat in feed 1. Let ‘wf2’ be the wheat in feed 2. Let ‘af1’ be the alfalfa in feed…

Q: A jewelry store makes necklaces and bracelets from gold and platinum. The store has 18 ounces of…

A: Formula:

Q: Donovan Enterprises produces electric mixers. Duringthe next four quarters, the following demands…

A: Let,  The objective of minimization of the cost

Q: A jewelry store makes necklaces and bracelets from gold and platinum. The store has 18 ounces of…

A:

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.