Question

Various financial data for the past two years follow. LAST YEAR THIS YEAR Output: Sales $ 200,000 $ 220,000 Input: Labor 30,000 40,000 Raw materials 35,000 45,000 Energy 5,000 6,000 Capital 50,000 50,000 Other 2,000 3,000 a. Calculate the total productivity measure for this company for both years. (Round your answers to 2 decimal places.) Total Productivity Last year This year b. Calculate the partial productivity measures for labor, capital, and raw materials for this company for both years. (Round your answers to 2 decimal places.) Labor Capital Raw Materials Last year This year

Answer 1

Answer and Explanation:

1.Total productivity = output/input

For last year

Output = 200,000

Input = 30000+35000+5000+50000+2000

= 122000 dollars

Output/input = 200000/122000 = 1.64

For current year

Output = 220000

Input = 40000+45000+6000+50000+3000

= 144000

Output/input = 220000/144000

= 1.53

Percentage change = [(1.53-1.64)/11.64} x 100

= -6.70

Partial measure of labor

For last year

Output = 200000

Input = 30000

Output/input = 200000/30000 = 6.67

For current last

Output = 220000

Input = 40000

Output/input = 220000/40000

= 5.50

Percentage change = (5.5-6.67)/6.67*100

= -17.54%

Percentage measure of raw material

For last year

Output = 200000

Input = 35000

Output/input = 200000/35000 = 5.71

For current year

Output = 220000

Input = 45000

Output/input = 220000/45000 = 4.89

Percentage change = (4.88-5.71)/5.71 * 100

= -14.36%

Percentage measure of capital

For last year

Output = 200000

Input = 50000

Output/input = 200000/50000 = 4

Current year

Output = 220000

Input = 50000

Output/input = 220000/50000 = 4.40

Percentage change = (4.40 - 4.00)/4.40 x 100

= 10%

The overall percentage change for total productivity is negative, this tells us that productivity is on a decline. Partial measure of labor and raw material is decreasing but that of capital is increasing