LP MODEL FORMULATION 1. RDB Manufacturing Company needs to provide capacity for manufacturing 10,750 units/month of a new product for which it has won a contract. It has identified two machines that meet its requirements. Information on the machines and their availability is as follows: Machine Machine A Machine B Cost/Machine $150,000 $200,000 Capacity, Parts/Month 1250 1900 Floor Space Needed, Square Feet/Machine 35 45 Machine Available The plant has a maximum of 300 square feet of space available for available for the additional equipment. How many of each machine should the company purchase in order to support the contract requirements at minimum equipment cost?

The Sentry Lock Corporation sells a variety of electronic goods through television shows. The company has a number of storages to keep the goods it sells, but also takes out a lease on additional storage space when required. During the next 5 months the company anticipates that it is going to need to take out a lease on the following amounts of additional storage space: Month 1 2 3 4 5 Square Feet(ft2) Needed 20,000 30,000 40,000 35,000 50,000 In the beginning of any month the company can take out a lease on additional space for one or more months at the following costs: Lease Term (months) 1 2 3 4 5 Cost per Sq. Ft. Leased $55 $85 $130 $165 $185 Therefore, for example, in the beginning of month 1 the company can take out a lease on as much space as it requires for four months at a cost of $165 per ft2 . Similarly, in the beginning of month 3 it can take out a lease on any amount of space for two months at a cost of $85 per ft2 . The company needs to determine the optimal way of…

Ensure to show your steps of calculations, formula and provide clear explanations for each part of the problem.

The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 760 homeless patients and no more than 800 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2,100 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,800 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,800 per month. How many of each type of patient should it house in order to maximize profit? (If an answer does not exist, enter DNE.) high-income patients  homeless patients  profit

Joe Henry’s machine shop uses 2,500 brackets during the course of a year. These brackets are purchased from a supplier 90 miles away. The following information is known about the brackets: Annual demand: 2,500 Holding cost per bracket per year: $1.50 Order cost per order: $18.75 Lead time: 2 days Working days per year: 250 a) Given the above information, what would be the economic order quantity (EOQ)? b) Given the EOQ, what would be the average inventory? What would be the annual inventory holding cost? c) Given the EOQ, how many orders would be made each year? What would be the annual order cost? d) Given the EOQ, what is the total annual cost of managing the inventory? e) What is the time between orders? f ) What is the reorder point (ROP)?

As the production planner for Xiangling Hu​ Products, Inc., you have been given a bill of material for a bracket that is made up of a​ base, 1 spring​, and 4 clamps. The base is assembled from 1 clamp and 2 housings. Each clamp has 1 handle and 2 castings. Each housing has 2 bearings and 1 shaft. There is no inventory on hand. ​a) Design a product structure noting the quantities for each item and show the​ low-level coding. Match each number in the structure below with the corresponding item.     Number Item I Spring Subscript left parenthesis 1 right parenthesisSpring(1)   II Housing Subscript left parenthesis 2 right parenthesisHousing(2)   III Casting Subscript left parenthesis 2 right parenthesisCasting(2)   IV Shaft Subscript left parenthesis 1 right parenthesisShaft(1)   A rectangle at the top center is labeled Bracket. Three branches originate from this rectangle connect the rectangle to three rectangles. The…

A company is producing 3 products A ,B and C. BOM of each product is given in the table below. Material Unit Product A Product B Product C Steel Ton 4 Aluminum KG 50 40 60 Wood CFT 10 10 Glass SFT 30 30 Rubber Sealer RFT 100 120 Screws Рack 5 6 4 Nut Bolt Dozen 2 Calculate the material requirements for 6 months production for all the products if monthly demand for A=1000, B=1200 and C=1500 units

A pet food factory blends four ingredients into three types of pet food: value, premium, and basic. The maximum quantities available of each ingredient and the costs per ounce are given in the table below: Ingredient Maximum pounds available per day Cost per ounce 5,000 $0.5625 2 2,400 $0.4375 3 4,000 $0.7500 4 1,500 $0.3750 The operations manager has placed limits on the component to be added to each blend. The limits and the selling price for each blend are shown in the table below: Variant Component Specifications Selling Price per pound Value Not less than 40% of 1 $12.00 Value Not more than 20% of 2 $12.00 Value Not less than 30% of 3 $12.00 Premium Not less than 40% of 3 $18.00 Basic Not more than 50% of 2 $10.00 Basic Not less than 10% of 1 $10.00 The marketing manager wants to produce at least 3,000 pounds of each variant of pet food. Develop a linear programming model to help the company determine the best mix to produce to maximize profits. Determine the optimal solution and…

Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials   $8260 Direct labor   10500 Overhead   13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials   $2630 Direct labor   4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831

Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: Young Energy operates a power plant that includes a coal-fired boiler to produce steam to drive a generator. The company can purchase different types of coals and blend them to meet the requirements for burning in the boiler. The following table shows the characteristics of the different types of coals: The required BTU/pound must be at least 11,900. In addition, the ash content can be at most 12.2% and the moisture content, at most 9.4%. Develop and solve a linear optimization model to find the best coal blend for Young Energy.