c) Prepare the scatter diagram, clearly showing any outliers. d) Using the line of best-fit, determine the company’s fixed cost per month and the variable cost per unit.(Use 0 & 5,000 units.) e) In view of the department’s cost behavior pattern, which of the two methods appear more appropriate? Explain your answer.
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c) Prepare the scatter diagram, clearly showing any outliers.
d) Using the line of best-fit, determine the company’s fixed cost per month and the variable cost per unit.(Use 0 & 5,000 units.)
e) In view of the department’s cost behavior pattern, which of the two methods appear more appropriate? Explain your answer.
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- Triple X Company manufactures and sells refrigerators. It makes some of the parts for the refrigerators and purchases others. The engineering department believes it might be possible to cut costs by manufacturing one of the parts currently being purchased for $8.25 each. The fi rm uses 100,000 of these parts each year. The accounting department compiles the following list of costs based on engineering estimates:Fixed costs will increase by $50,000. Labor costs will increase by $125,000.Factory overhead, currently running $500,000 per year, may be expected to increase 12 percent.Raw materials used to make the part will cost $600,000.Given the preceding estimates, should Triple X make the part or continue to buy it?A wood products firm uses available time at the end of each week to make goods for stock.Currently, two products on the list of items are produced for stock: a chopping board and a knifeholder. Both items require three operations: cutting, gluing, and finishing. The manager of thefirm has collected the following data on these products.TIME PER UNIT (MINUTES)Item Profit/Unit Cutting Gluing FinishingChopping board $2 1.4 5 12Knife holder $6 0.8 13 3The manager has also determined that, during each week, 56 minutes are available for cutting, 650minutes are available for gluing, and 360 minutes are available for finishing.a. Determine the optimal quantities of the decision variables if the goal is to maximize profit.b. Which resources are not completely used by your solution? How much of each resource isunused?8-1 (Production problem) Winkler Furniture manufactures two different types of china cabinets: a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: carpentry, painting, and finishing. The table on this page contains all relevant information concerning production times per cabinet produced and production capacities for each operation per day, along with net revenue per unit produced. The firm has a contract with an Indiana distributor to produce a minimum of 300 of each cabinet per week (or 60 cabinets per day). Owner Bob Winkler would like to determine a product mix to maximize his daily revenue. Cabinet Style Carpentry (Hours/Cabinet) Painting (Hours/Cabinet) Finishing (Hours/Cabinet) Net Revenue/Cabinet ($) French Provincial 3 1.5 0.75 28 Danish Modern 2 1 0.75 25 Department Capacity (Hours) 360 200 125 a) Formulate as an LP problem. b) Solve using an LP software program or…
- 8-1 (Production problem) Winkler Furniture manufactures two different types of china cabinets: a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: carpentry, painting, and finishing. The table on this page contains all relevant information concerning production times per cabinet produced and production capacities for each operation per day, along with net revenue per unit produced. The firm has a contract with an Indiana distributor to produce a minimum of 300 of each cabinet per week (or 60 cabinets per day). Owner Bob Winkler would like to determine a product mix to maximize his daily revenue. Perform the four steps (i.e., define variables, determine objective function, identify constraints, list the non-negativity statement) and write equations. Use the table in the pictureA manufacturing fi rm has discontinued production of a certain unprofi table product line.Considerable excess production capacity was created as a result. Management is consideringdevoting this excess capacity to one or more of three products: X1, X2, and X3.Machine hours required per unit areProductMachine Type X1 X2 X3Milling machine 8 2 3Lathe 4 3 0Grinder 2 0 1The available time in machine hours per week isMachine Hours per WeekMilling machines 800Lathes 480Grinders 320The salespeople estimate they can sell all the units of X1 and X2 that can be made. Butthe sales potential of X3 is 80 units per week maximum.Unit profi ts for the three products areUnit ProfitsX1 $20X2 6X3 8a. Set up the equations that can be solved to maximize the profi t per week.b. Solve these equations using the Excel Solver.c. What is the optimal solution? How many of each product should be made, and whatshould the resultant profi t be?d. What is this situation with respect to the machine groups? Would they…The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both rquire a certain amount of wiring and drilling. Each air condtioner takes 3 hours of wiring and 2 hours of drilling. During the next production period, 240 hours of wiring time are available, and up to 140 hours of drilling time may be used. Each air conditioner sold yieds a profit of $25. Each fan assembled may be sold for a $15 profit. Formulate the best combination of air conditioners and fans that yiedls the highest profit. Use the corner point graphical approach.
- The Mystic Coffee Shop blends coffee on the premises forits customers. It sells three basic blends in one-pound bags:Special, Mountain Dark, and Mill Regular. It uses four dif-ferent types of coffee to produce the blends: Brazilian,mocha, Colombian, and mild. The shop used the followingblend recipe requirements:The cost of Brazilian coffee is $2.00 per pound, the cost ofmocha is $2.75 per pound, the cost of Colombian is $2.90per pound, and the cost of mild is $1.70 per pound. Theshop has 110 pounds of Brazilian coffee, 70 pounds ofmocha, 80 pounds of Colombian, and 150 pounds of mildcoffee available per week. The shop wants to know theamount of each blend it should prepare each week in orderto maximize profit.Formulate and solve a linear programming model forthis problem.The Westerbeck Company manufactures several models of automatic washers and dryers. The projected requirements over the next year for their washers are shown in the table below: Month & Requirement January - 710 February - 1090 March - 880 April - 690 May - 1400 June - 1130 July - 1550 August - 1020 September - 530 October - 390 November - 980 December - 1210 Current inventory is 140 units. Current capacity is 1,030 units per month. The average salary of production workers is $1,150 per month. Material costs $140/unit. Each production worker accounts for 35 units per month. Overtime is paid at time and a half. Any increase or decrease in the production rate costs $40/unit for tooling, setup, and line changes. This does not apply, however, to overtime. Inventory-holding costs are $30 per unit per month. Lost sales are valued at $70 per unit. Compare the costs of level and chase demand production plans using the Agg Plan – Level and Agg Plan – Chase…There are several types of linear-programming models that exhibit a special structure which can be exploited in the construction of efficient algorithms for solutions to an organisation’s challenges. Efficient production planning is a key condition for a production system’s success, which considers the real-world resource limitations such as budget, time and labour. A study is being conducted to develop linear and goal programming models in an attempt to optimise the daily production outputs of your organisation in producing various product mixes. The three goals considered are: maximising the daily sales profits, minimising overtime, and maximising the utility of machines used in the production process. REQUIRED: You are required to develop an efficient solution through the application of linear and goal programming, to a concisely defined problem through examining a situation in a company of your choice to determine the optimal solution to be implemented. Generate a title of your…
- Telsla produces a range of electric car models. The following presents hypothetical information in regards to the production of these cars. The production manager would like your assistance to identify the optimal production mix. Below is an estimation of the costs to manufacture these products. Model S Model 3 Model X Selling price $130,000.00 $63,000.00 $150,000.00 Direct materials $60,000.00 $26,000.00 $67,000.00 Direct labour $17,500.00 $11,500.00 $20,750.00 Variable overhead $13,125.00 $8,625.00 $15,562.50 Fixed overhead $8,750.00 $5,750.00 $10,375.00 Each of these products goes through the same manufacturing process. The time for each process required for each model and the total hours available for each process are provided in the table below. Process Model S Model 3 Model X Total hours available Body 2 1.5 2.5 750,000 Stamping 1 0.75 1.2 400,000 Plastics 2 1.75 2.1 700,000 Assembly 4 3.5 4.5 1,400,000 Required: Using Excel…Lake Stevens Marina has estimated that fixed costs per month are $350,000 and variable cost per dollar of sales is $0.30 . The selling price per dollar of sales is: $1.00 Determine the effect on the break-even point in sales dollars considering each of the following independently. 1. Total fixed costs increase to $365,000. Break-even point = ÷ = 2. Variable costs decline to $0.25 per sales dollar. Break-even point = ÷ = 3. The anticipated sales volume increases to $1,100,000. Break-even point = ÷ = Comment on the BEPs from the above analyses in questions 1,2,3.There are several types of linear-programming models that exhibit a special structure which can be exploited in the construction of efficient algorithms for solutions to an organisation’s challenges Efficient production planning is a key condition for a production system’s success, which considers the real-world resource limitations such as budget, time and labour. A study is being conducted to develop linear and goal programming models in an attempt to optimise the daily production outputs of your organisation in producing various product mixes. The two goals considered are: Minimising overtime, and maximising the utility of machines used in the production process. please answer the two bolded ones