Slavin Corporation manufactures two products, Alpha and Delta. Each product requires time on a single machine. The machine has a monthly capacity of 500 hours. Total market demand for the two products is limited to 170 units (each) monthly. Slavin is currently producing 110 Alphas and 110 Deltas each month. Cost and machine-usage data for the two products are shown in the following table, which Slavin managers use for planning purposes.     Alpha Delta Total Price $ 125   $ 155         Less variable costs per unit                   Material   17     32         Labor   23     35         Overhead   14     14         Contribution margin per unit $ 71   $ 74         Fixed costs                   Manufacturing             $ 7,400   Marketing and administrative             $ 4,400                 $ 11,800   Machine hours per unit   2.0     2.5         Machine hours used               495   Machine hours available               500   Quantity produced   110     110         Maximum demand   170     170         Profit $ 4,150                   Required: a. What is the optimal production schedule for Slavin? In other words, how many Alphas and Deltas should the company produce each month to maximize monthly profit? b. If Slavin produces at the level found in requirement (a), how much will monthly profit increase over the current production schedule?

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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Slavin Corporation manufactures two products, Alpha and Delta. Each product requires time on a single machine. The machine has a monthly capacity of 500 hours. Total market demand for the two products is limited to 170 units (each) monthly. Slavin is currently producing 110 Alphas and 110 Deltas each month. Cost and machine-usage data for the two products are shown in the following table, which Slavin managers use for planning purposes.

 

  Alpha Delta Total
Price $ 125   $ 155        
Less variable costs per unit                  
Material   17     32        
Labor   23     35        
Overhead   14     14        
Contribution margin per unit $ 71   $ 74        
Fixed costs                  
Manufacturing             $ 7,400  
Marketing and administrative             $ 4,400  
              $ 11,800  
Machine hours per unit   2.0     2.5        
Machine hours used               495  
Machine hours available               500  
Quantity produced   110     110        
Maximum demand   170     170        
Profit $ 4,150              
 

 

Required:

a. What is the optimal production schedule for Slavin? In other words, how many Alphas and Deltas should the company produce each month to maximize monthly profit?

b. If Slavin produces at the level found in requirement (a), how much will monthly profit increase over the current production schedule?

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