Two separate processes are being considered for manufacturing a product. Process A has fixed costs of $12,000 and variable costs of $6 per unit. Process B has fixed costs of $16,000 and variable costs of $4 per unit. a. What is the break-even quantity for the two processes (Show your work)? b. Which process would be more cost-effective for producing 1,000 units? c. Which process would be more cost-effective for producing 3,000 units?

Two separate processes are being considered for manufacturing a product. Process A has fixed costs of $12,000 and variable costs of $6 per unit. Process B has fixed costs of $16,000 and variable costs of $4 per unit. a. What is the break-even quantity for the two processes (Show your work)? b. Which process would be more cost-effective for producing 1,000 units? c. Which process would be more cost-effective for producing 3,000 units?

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter13: Nonlinear Optimization Models

Section: Chapter Questions

Problem 3P: Let S represent the amount of steel produced (in tons). Steel production is related to the amount of...

See similar textbooks

Similar questions

Mabbut Company has the following departmental manufacturing layout for one of its plants: A consulting firm recommended a value stream with the following manufacturing cell: Required: 1. Calculate the total time it takes to produce a batch of 10 units using the traditional departmental manufacturing layout. 2. Using cellular manufacturing, how much time is saved producing the same batch of 10 units? Assuming the cell operates continuously, what is the production rate? Which process controls this production rate? 3. Assume the processing time of Welding is reduced to 6 minutes, while the times of the other processes stay the same. What is the production rate now, and how long will it take to produce a batch of 10 units if the cell is in a continuous production mode?
Larsen, Inc., produces two types of electronic parts and has provided the following data: There are four activities: machining, setting up, testing, and purchasing. Required: 1. Calculate the activity consumption ratios for each product. 2. Calculate the consumption ratios for the plantwide rate (direct labor hours). When compared with the activity ratios, what can you say about the relative accuracy of a plantwide rate? Which product is undercosted? 3. What if the machine hours were used for the plantwide rate? Would this remove the cost distortion of a plantwide rate?
Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S=20L0.30C0.70. In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs 50, and each unit of capital costs 100. a. Formulate an optimization problem that will determine how much labor and capital are needed to produce 50,000 tons of steel at minimum cost. b. Solve the optimization problem you formulated in part (a). (Hint: When using Excel Solver, start with an initial L 0 and C 0.)
The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: a. Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. b. In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? How much would you be willing to pay per hour of overtime in each department? c. Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is 18 in department A, 22.50 in department B, and 12 in department C. Formulate a linear programming model that can be used to determine the optimal production quantities if overtime is made available. What are the optimal production quantities, and what is the revised total contribution to profit? How much overtime do you recommend using in each department? What is the increase in the total contribution to profit if overtime is used?
The number of set ups is the cost driver for production scheduling and machine set ups. The number of set ups for three products are as follows: Number of set-ups is X=240, Y=260 and Z=300. If the cost of production scheduling is GH¢1.2 million and the cost of ordering is GH¢1.8 million, how much of the production scheduling should be charged to Y?A. GH¢390,000B. GH¢360,000C. GH¢702,000D. GH¢500,000
Use the following information for the next 2 questions (8 & 9). Division X produces and sells a product to external and internal customers. Per-unit information about its operations include: Selling price per unit to external customers $250 Variable manufacturing costs per unit 115 Fixed manufacturing overhead costs per unit 70 8. If X is operating at capacity and has unlimited external customer demand, what should be the minimum transfer price? 9. If X has sufficient excess capacity to meet internal demand, what should be the minimum transfer price?
A machine is used to produce two interchangeable products. The daily capacity of the machine can produce at most 20 units of Product 1 and 10 units of Product 2. Alternatively, the machine can be adjusted to produce at most 12 units of Product 1 and 25 units of Product 2 daily. Market analysis shows the maximum daily demand for the two products combined is 35 units. Given that the unit profits for the two respective products are $10 and $12, formulate the Integer Linear Programming model to maximize the Total Profit.
A company manufactures and markets three products that are made from the same set of machines. Production is limited by machine capacity. Using the data given below, you are required to indicate the priorities for products A, B, and C with a view to maximize profits. A B C ( Cost per unit) 3.25 Raw materials (Rs.) Direct Labour (Rs.) Other Variable Cost (Rs.) Selling Price (Rs.) Standard machine Time 2.25 4.25 0.50 0.50 0.50 0.30 0.45 0.71 5.90 6.00 7.00 required (per unit) 39 minute 20 minutes 28minutes In the following year, the company faces extreme shortage of raw materials. It is noted that 3kg, 4kg, 5kg of raw materials are required to produce one unit of A. B. and C respectively. How would product priorities change".
Consider the information below for a company whose products goes through two processes; material cost of GH¢100000 for a quantity of 10000kg, labour cost- GH¢50000 and overhead cost as twice the cost of labour. The company expected an output of 9500kg from process 1 but eventually obtained 9400kg. What value should the output be transferred to process 2?
Which of the following would be included in the cost of a product manufactured according to variable costing? a.sales commissions b.direct materials c.interest expense d.office supply costs Another name for variable costing is: a.indirect costing b.process costing c.direct costing d.differential costing If variable manufacturing costs are $15 per unit and total fixed manufacturing costs are $200,000, what is the manufacturing cost per unit if a. 20,000 units are manufactured and the company uses the variable costing concept?
ABC INC product is currently produced at 10 materials, 40 labor and 15 overhead. If automation is implemented, the product can be produced at 10 materials, 5 labor and 35 overhead. At a total of 10,000 units, what is the net incremental cost or benefit if the production decides to move into automation?
A new product is being designed by an engineering team at Golem Security. Several managers and employees from the cost accounting department and the marketing department are also on the team to evaluate the product and determine the cost using a target costing methodology. An analysis of similar products on the market suggests a price of $132.00 per unit. The company requires a profit of 0.20 of selling price. How much is the target cost per unit? Round to two decimal places.