Question

In: Accounting

Carlson Automotive Company manufactures fuel-injection systems. It manufactured and sold 60,000 units in 2018 and 64,000...

Carlson Automotive Company manufactures fuel-injection systems. It manufactured and sold 60,000 units
in 2018 and 64,000 units in 2019 at $25 per unit. In 2018, the firm used 75,000 pounds of alloy TPX–45 at
$7.20 per pound and used 10,000 direct labor hours at an hourly wage rate of $30. In 2019, the firm used
89,600 pounds of alloy TPX–45 at $6.80 per pound and used 10,847 direct labor hours at an hourly wage
rate of $32. The total amount of all other expenses remains the same at $450,000 each year. Jerry Olson,
CEO, was disappointed that although the total sales increased in 2019, operating income declined from
$210,000 in 2018 to $193,616 in 2019.

1. Detailed partition of partial financial productivity.
2. Total productivity for 2018 and 2019 as measured in both units and sales dollars.

Solutions

Expert Solution

Particulars 2018 2019
Unit Base Rate per unit Total Unit Base Rate per unit Total
Sale 60000 25     15,00,000.00   64000 25     16,00,000.00  
Variable Costs
Direct Material 75000 7.2       5,40,000.00   89600 6.8       6,09,280.00  
Direct Labour 10000 30       3,00,000.00   10847 32       3,47,104.00  
      6,60,000.00         6,43,616.00  
Fixed Costs       4,50,000.00         4,50,000.00  
Operting Income       2,10,000.00         1,93,616.00  
There has been a reduction in oeprating income from 2018 to 2019. This is due to the following reasons:
1) Direct Material per unit 2018 2019
75000/60000 89600/64000
1.25 1.4
Although there has been a redcution in Direct material price per unit but clearly there has been an increase in number of hours consumed per unit
2) Direct Labour per unit 2018 2019
10000/60000 10847/64000
0.167 0.169
There has been a small increase in number of hours per unit but rate has been increased by $2 per labour hour which has lead to reduction in operating income for the year 2019

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