Cortez Company is planning to introduce a new product that will sell for $108 per unit. The following manufacturing cost estimates have been made on 20,000 units to be produced the first year:           Direct materials $ 800,000   Direct labor   800,000 (= $16 per hour × 50,000 hours)     Manufacturing overhead costs have not yet been estimated for the new product, but monthly data on total production and overhead costs for the past 24 months have been analyzed using simple linear regression. The following results were derived from the simple regression and provide the basis for overhead cost estimates for the new product.   Simple Regression Analysis Results Dependent variable—Factory overhead costs       Independent variable—Direct labor-hours       Computed values       Intercept $ 120,000   Coefficient on independent variable $ 5.00   Coefficient of correlation   .917   R2   .841       Required: a. What percentage of the variation in overhead costs is explained by the independent variable? a. 84.10% b. 92.50% c. 100.90% d. 75.70% e. None of the above   b. What is the total overhead cost for an estimated activity level of 70,000 direct labor-hours? a. $470,000 b. $480,000 c. $460,000 d. $490,000 e. None of the above   c. How much is the variable manufacturing cost per unit, using the variable overhead estimated by the regression (assuming that direct materials and direct labor are variable costs)?  a. $93.00 b. $102.00 c. $112.00 d. $84.00 e. None of the above

Managerial Accounting
15th Edition
ISBN:9781337912020
Author:Carl Warren, Ph.d. Cma William B. Tayler
Publisher:Carl Warren, Ph.d. Cma William B. Tayler
Chapter9: Evaluating Variances From Standard Costs
Section: Chapter Questions
Problem 25E: Lowell Manufacturing Inc. has a normal selling price of 20 per unit and has been selling 125,000...
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Cortez Company is planning to introduce a new product that will sell for $108 per unit. The following manufacturing cost estimates have been made on 20,000 units to be produced the first year:

 

       
Direct materials $ 800,000  
Direct labor   800,000 (= $16 per hour × 50,000 hours)
 

 

Manufacturing overhead costs have not yet been estimated for the new product, but monthly data on total production and overhead costs for the past 24 months have been analyzed using simple linear regression. The following results were derived from the simple regression and provide the basis for overhead cost estimates for the new product.

 

Simple Regression Analysis Results
Dependent variable—Factory overhead costs      
Independent variable—Direct labor-hours      
Computed values      
Intercept $ 120,000  
Coefficient on independent variable $ 5.00  
Coefficient of correlation   .917  
R2   .841  
 

 

Required:

a. What percentage of the variation in overhead costs is explained by the independent variable?

a. 84.10%
b. 92.50%
c. 100.90%
d. 75.70%
e. None of the above
 


b. What is the total overhead cost for an estimated activity level of 70,000 direct labor-hours?

a. $470,000
b. $480,000
c. $460,000
d. $490,000
e. None of the above

 

c. How much is the variable manufacturing cost per unit, using the variable overhead estimated by the regression (assuming that direct materials and direct labor are variable costs)? 

a. $93.00
b. $102.00
c. $112.00
d. $84.00
e. None of the above

 

 

d. What is the expected contribution margin per unit to be earned during the first year on 20,000 units of the new product? (Assume that all marketing and administrative costs are fixed.)

a. $15.00
b. $17.00
c. $18.00
d. $14.00
e. None of the above

 


e. What is the manufacturing cost equation implied by these results?

a. Total cost = $800,000 + ($5.00 × Number of units)

b. Total cost = $120,000 + ($108.00 × Number of units)
c. Total cost = $120,000 + ($16.00 × Number of units)
d. None of the above

 

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