Formulate the problem. b. Find solutions for companies using simplex tables. (Stopped at iteration 3)
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Furniture Companies produce office desks, regular tables, and chairs. Making each type of furniture requires wood and two types of skilled labor: finishing and carpentry. The amount of each resource required to craft each type of furniture is given in the table below. Currently available is 48 board feet of lumber, 20 hours of finishing, and 8 hours of carpentry. An office desk sells for $60, a regular desk for $30, and a chair for $20. Dakota believes that the demand for tables and chairs is unlimited, but that at most five tables can be sold. As available resources have been purchased, Dakota wants to maximize total revenue.
ResourceDeskTableChairLumber (board ft)861Finishing hours421.5Carpentry hours21.50.5
a. Formulate the problem.
b. Find solutions for companies using simplex tables. (Stopped at iteration 3)
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- A machine shop is tasked with processing five different products in four workstations, and operates 40 hours per week. Part-mix ratios, batch quantities, part routings, machines, servers, and production times are given in the table below for the five part styles produced in the shop. Part production times include an allowance for setup time that is based on the batch quantity for each part style. Production records indicate that the average nonproductive time associated with each operation is 10 hrs. Operation sequence for each part style is in the order of station number. Part styles are identified by letter and stations are identified by number. Determine the average lead time for all four part styles (hours, 2 decimal points). Part style (j) A B D Part mix ( p;) 0.25 0.20 0.10 0.20 0.25 Batch quantity ( Qb) 25 19 19 20 27 Stations (i) Servers ( s;) ТрА (hr) Трв (hr) Трс (hr) Tро (hr) ТРЕ (hr) 1 1 0.27 0.36 0.14 0.17 2 1 0.46 0.45 0.26 0.11 3 1 0.44 0.17 0.17 0.25 4 1 0.28 0.13 0.26…Workshape Manufacturing has two classes of distributors: JIT distributors and non-JIT distributors. The JIT distributor places small, frequent orders, and the non-JIT distributor tends to place larger, less frequent orders. Both types of distributors purchase the same product. The customer activities and costs for the previous quarter are as follows: Activity JIT distributors Non-JIT distributors Sales Orders 500 30 Sales Calls 30 30 Service Calls 200 90 Average Order Size 90 1,400 Manufacturing Cost/Unit $50 $50 Customer Costs: Processing Sales Orders $160,000 Selling Goods $155,000 Servicing Goods $195,000 Total $500,000 Calculate the activity rate for selling goods. (Note: Round answer to two decimal places.) a.$2,200.50 per sales call b.$9,400.60 per sales call c.$3,550.66 per sales call d.$2,583.33 per sales call e.$4,800.40 per sales callTattle Tots makes a fiberglass tricycle for kids that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat, and frame unit, and rear wheels. The company has orders for 12,000 of these tricycles. The company does not have the resources available to manufacture everything needed for the completion of 12,000 tricycles so it has gathered purchase information for each component. The following table shows relevant information: Requirements Cost to Manufacture Cost to Purchase Component Plastic Time Space Front 3 10 2 8 12 Seat/Frame 4 6 2 6 9 Rear-wheel (each) .5 2 .1 1 3 Available 50,000 160,000 30,000 Develop a linear programming model to advise the operations manager of Tattle Tots how many of each component should be manufactured and how many should be purchased in order to provide 12,000 fully completed tricycles at the minimum cost. What is your best…
- Company ZWZ manufactures three products in a serial system; Product XA is manufactured in Stage 1, Product XB in Stage 2, and XC in Stage 3. Product XB has a sales potential in the market; hence, some of it can be sold at the end of Stage 2, and the remaining can be moved to Stage 3. The third stage produces Product XC, and then delivers it to customers. Two units of Product XA produced in Stage 1 are required for each unit of Product XB in Stage 2. In addition, four units of Product XB produced in Stage 2 are required for each unit of Product XC in Stage 3. Stage 1 can only use regular time; however, Stage 2 has the options of using regular time and overtime in manufacturing. On the other hand, Stage 3 has only one alternative, which is subcontracting. The pertinent data are provided below: Stage 2 Stage 1 11 No overtime No subcontracting No sales 0.07 Unit regular time cost (TL) Unit overtime cost (TL) Unit subcontracting cost (TL) Unit selling price (TL) Unit processing time (hrs)…Because of its labor contract, a company must hire enough labor for 100 units ofproduction per week on one shift or 200 units per week on two shifts. It cannot hire,lay off, or assign overtime. During the fourth week, workers will be available fromanother department to work part or all of an extra shift (up to 100 units). There is aplanned shutdown for maintenance in the second week, which will cut production tohalf. Develop a production plan. The opening inventory is 200 units, and the desiredending inventory is 300 unitsInformation on a business is given below.Variable Expenses:Raw material expense: 250 TL / pieceAuxiliary equipment expense: 150 TL / pieceElectricity expenses: 100 TL / pieceSpare parts expense: 75 TL / pieceOther variable expenses: 125 TL / pieceFixed costs:Depreciation, interest and insurance expenses: 75 000 TLLabor and personnel expenses: 250 000 TLOther fixed expenses: 115 000 TLProduction capacity: 2000 pcs / monthSale price: 1600 TL / pieceAccording to the above,a) Find the break-even point as the production quantity?b) Find the amount that the business has to produce in order to make a profit of 500 000 TL / month?
- attle Tots makes a fiberglass tricycle for kids that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat, and frame unit, and rear wheels. The company has orders for 12,000 of these tricycles. The company does not have the resources available to manufacture everything needed for the completion of 12,000 tricycles so it has gathered purchase information for each component. The following table shows relevant information: Requirements Cost to Manufacture Cost to Purchase Component Plastic Time Space Front 3 10 2 8 12 Seat/Frame 4 6 2 6 9 Rear-wheel (each) .5 2 .1 1 3 Available 50,000 160,000 30,000 Develop a linear programming model to advise the operations manager of Tattle Tots how many of each component should be manufactured and how many should be purchased in order to provide 12,000 fully completed tricycles at the minimum cost. What is your best…Digital Imaging has hired your Analytics Consulting Firm (SJU Analytics) to help determine how many units of each printer they should produce to maximize profit. Construct a Simple Linear Programing Analysis using Excel SOLVER Prepare a presentation to DI’s president presenting your findings and recommendations. Digital Imaging’s Leadership team has providing the following information: Digital Imaging (DI) produces color printers for both the professional and consumer markets. The DI consumer division recently introduced two new color printers. The DI-910 model can produce a borderless color print in approximately 37 seconds. The more sophisticated and faster DI-950 can even produce a borderless color print. Financial projections show profit contributions of $42 for each DI-910 and $87 for each DI-950. The printers are assembled, tested, and packaged at DI’s plant located in New Bern, North Carolina. This plant is highly automated and uses two manufacturing lines to produce the…Karen owns a roof repair service and drives a van to local client sites. During the week she drives the following distances: · From her home to her business headquarters: 8 miles · From her headquarters to a client site: 15 miles · From client site back to her headquarters: 15 miles · Trip from her headquarters back home: 8 miles How many miles does she count for business purposes? Group of answer choices 8 miles. 15 miles. 30 miles. 46 miles.
- Terry, Inc., makes gasoline storage tanks. All production is done under contract. The company makes three basic models, but each model must be adapted to customer specifications for the location of outlets, insulation, and paint. It takes from three to six months to complete a tank. How should Terry account for the income for the business?Part A is processed on a MILLING machine; Part B is processed on a LATHE machine. Two parts (A and B) are then assembled on an ASSEMBLY machine. Standard times, scrap rates, efficiency, and availability of each machine and the assembly are given in the table below. Determine the number of milling (M), the lathe (L) and the assembly (A) machines needed to produce 100 good parts from this production system during and 8-hour (480 minutes) shift. (Note: Round up the number of parts processed on each station and then round up the number of machines needed).Baking dog treats in her kitchen has been a simple process for Emma to manage. She has two ovens, one sink, a refrigerator, and enough room for two people to work at the same time. However, when Emma moves her business out of her home, she will have a commercial kitchen that can accommodate as many as six people working simultaneously. She had never thought of her business as “production” until the real estate agent who showed her the space asked how many production workers she needs to accommodate. At that point, Emma realized she would be running a production system. Even worse, she realized that she had never even visited a manufacturing facility or set foot on a real production floor. How will she ever manage this process?