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 behaviour pattern, which of the two methods appear more appropriate? Explain your answer.
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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 behaviour pattern, which of the two methods appear more appropriate? Explain your answer.
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- 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 pictureTriple 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?
- Can you check my work and tell me why I am not getting the answer $9100? Model Inc. has to transport 100 bags of Type Abags, 100 bags of Type B bags, and 100 bagsof Type C bags. They can hire Truck and Minivans. Each truck can carry 10 bags of Type Abags, 20 bags of Type B bags, and 10 bags ofType C bags. On the other hand, each minivancan carry 20 bags of Type A bags, 5 bags ofType B bags, and 10 bags of Type C bags. Eachtruck's rental cost is $1000, and eachminivan's rental cost is $850. There are only 5truck drivers available to drive the trucks(Hint:It means the number of trucks should be lessthan or equal to 5). If Model Inc wants tominimize the transportation cost, how manytrucks and vans should they rent? (PossibleAnswer: $9100) Data A B C COST TRUCK 10 20 10 $ 1,000.00 MINIVAN 20 5 10 $ 850.00 Model…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…Tasty Tim’s is a specialty taco restaurant. The following tasks are required for the successful assembly of a Tasty taco (times are in seconds per taco): Chop and trim meat – 30 Chop vegetables – 20 Grill meat – 240 Grill vegetables – 180 Prepare toppings - Lettuce - 10 - Tomato - 15 - Guacamole - 40 Assemble taco - Add meat - 5 - Add vegetables - 5 - Add cheese - 5 - Add toppings - 10 Wrap taco - 20 During the lunch hour, Tasty Tim’s encounters demand for 120 tacos. What is the Takt time (in seconds/unit) takt time for Tasty Tim’s taco shop?
- Accompany makes two products (1&2) each product requires time on two machines (A&B). specification for each product is as follows. Product1 product2 Processing time on Machine A (hrs/unit) 2 2 Processing time on Machine B (hrs/unit) 1 2 Material and labour cost ( ksh/unit) 14 15 Selling price (ksh/unit) 16 18 Maximum possible sale (units) 130 150 The amount of time available on machine A is 360 hours and on machine B is 260 hours. Formulate the linear programme which, when…The Elastic Firm has two products coming on the market, Zigs and Zags. To make a Zig, the firm needs 10 units of product A and 15 units of product B. To make a Zag, they need 20 units of product A and 15 units of product B. There are only 2,000 units of product A and 3,000 units of product B available to the firm. The profit on a Zig is R4 and on a Zag it is R6. Management objectives in order of their priority are: (1) Produce at least 40 Zags. (2) Achieve a target profit of at least R750. (3) Use all of the product A available. (4) Use all of the product B available. (5) Avoid the requirement for more product A. Formulate this as a goal programming problem.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.
- A 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…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?Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. The optimum solution is: Number of trucks to be produced per day = ? (round your response to two decimal places).