Goblin Manufacturing has provided the following information: . Sales price per unit = $60 Variable cost per unit = $22 . Fixed costs per month = Not needed for this calculation Calculate the contribution margin per unit.

Goblin Manufacturing has provided the following information: . Sales price per unit = $60 Variable cost per unit = $22 . Fixed costs per month = Not needed for this calculation Calculate the contribution margin per unit.

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 4P: The profit function for two products is: Profit3x12+42x13x22+48x2+700, where x1 represents units of...

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The profit function for two products is: Profit3x12+42x13x22+48x2+700, where x1 represents units of production of product 1, and x2 represents units of production of product 2. Producing one unit of product 1 requires 4 labor-hours, and producing one unit of product 2 requires 6 labor-hours. Currently, 24 labor-hours are available. The cost of labor-hours is already factored into the profit function, but it is possible to schedule overtime at a premium of 5 per hour. a. Formulate an optimization problem that can be used to find the optimal production quantity of products 1 and 2 and the optimal number of overtime hours to schedule. b. Solve the optimization model you formulated in part (a). How much should be produced and how many overtime hours should be scheduled?
A product has a sales price of $250 and a per-unit contribution margin of $75. What is the contribution margin ratio?
Method of Least Squares, Predicting Cost for Different Time Periods from the One Used to Develop a Cost Formula Refer to the information for Farnsworth Company on the previous page. However, assume that Tracy has used the method of least squares on the receiving data and has gotten the following results: Required: 1. Using the results from the method of least squares, prepare a cost formula for the receiving activity. 2. Using the formula from Requirement 1, what is the predicted cost of receiving for a month in which 1,450 receiving orders are processed? (Note: Round your answer to the nearest dollar.) 3. Prepare a cost formula for the receiving activity for a quarter. Based on this formula, what is the predicted cost of receiving for a quarter in which 4,650 receiving orders are anticipated? Prepare a cost formula for the receiving activity for a year. Based on this formula, what is the predicted cost of receiving for a year in which 18,000 receiving orders are anticipated?
Calculate the per-unit contribution margin of a product that has a sale price of $200 if the variable costs per unit are $65.
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?
Using High-Low to Calculate Predicted Total Variable Cost and Total Cost for a Time Period That Differs from the Data Period Refer to the information for Pizza Vesuvio on the previous page. Assume that this information was used to construct the following formula for monthly labor cost. TotalLaborCost=5,237+(7.40EmployeeHours) Required: Assume that 4,000 employee hours are budgeted for the coming year. Use the total labor cost formula to make the following calculations: 1. Calculate total variable labor cost for the year. 2. Calculate total fixed labor cost for the year. 3. Calculate total labor cost for the coming year. Use the following information for Brief Exercises 3-17 through 3-20: Pizza Vesuvio makes specialty pizzas. Data for the past 8 months were collected:
Using Regression to Calculate Fixed Cost, Calculate the Variable Rate, Construct a Cost Formula, and Determine Budgeted Cost Refer to the information for Pizza Vesuvio on the previous page. Coefficients shown by a regression program for Pizza Vesuvios data are: Required: Use the results of regression to make the following calculations: 1. Calculate the fixed cost of labor and the variable rate per employee hour. 2. Construct the cost formula for total labor cost. 3. Calculate the budgeted cost for next month, assuming that 675 employee hours are budgeted. (Note: Round answers to the nearest dollar.) Use the following information for Brief Exercises 3-17 through 3-20: Pizza Vesuvio makes specialty pizzas. Data for the past 8 months were collected:
Suppose a company finds that shipping cost is 3,560 each month plus 6.70 per package shipped. What is the cost formula for monthly shipping cost? Identify the independent variable, the dependent variable, the fixed cost per month, and the variable rate.
Using the data in P4-2 and Microsoft Excel: 1. Separate the variable and fixed elements. 2. Determine the cost to be charged to the product for the year. 3. Determine the cost to be charged to factory overhead for the year. 4. Determine the plotted data points using Chart Wizard. 5. Determine R2. 6. How do these solutions compare to the solutions in P4-2 and P4-3? 7. What does R2 tell you about this cost model?
Lotts Company produces and sells one product. The selling price is 10, and the unit variable cost is 6. Total fixed cost is 10,000. Required: 1. Prepare a CVP graph with Units Sold as the horizontal axis and Dollars as the vertical axis. Label the break-even point on the horizontal axis. 2. Prepare CVP graphs for each of the following independent scenarios: (a) Fixed cost increases by 5,000, (b) Unit variable cost increases to 7, (c) Unit selling price increases to 12, and (d) Fixed cost increases by 5,000 and unit variable cost is 7.
This cost data from Hickory Furniture is for the year 2017. Using the high-low method, express the companys utility costs as an equation where X represents number of tables produced. Predict the utility costs if 800 tables are produced. Predict the utility costs if 600 tables are produced. Using Excel, create a scatter graph of the cost data and explain the relationship between number of tables produced and utility expenses.
High-low method Ziegler Inc. has decided to use the high-low method to estimate the total cost and the fixed and variable cost components of the total cost. The data for various levels of production are as follows: A. Determine the variable cost per unit and the total fixed cost. B. Based on part (B), estimate the total cost for 115,000 units of production.