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# solve exercise a company obtains a production in June of 4000 units using 350 hours of work 40 units of material a and 700 units of material b the price data refer to below unit price of the product 15 price of the hour of work 50 unit price of material a120 price of material b 5 is asked to calculate, global productivity explain global productivity if material b increases in price to a value of 5 explain, global productivity variation rate considering the data obtained e and in b

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## Answer to a math question solve exercise a company obtains a production in June of 4000 units using 350 hours of work 40 units of material a and 700 units of material b the price data refer to below unit price of the product 15 price of the hour of work 50 unit price of material a120 price of material b 5 is asked to calculate, global productivity explain global productivity if material b increases in price to a value of 5 explain, global productivity variation rate considering the data obtained e and in b

Miles
4.9
Calculate original global productivity:

\text{Output} = 4000 \, \text{units}
\text{Input} = $\text{work hours} \times \text{price per hour}$ + $\text{units of material A} \times \text{price of material A}$ + $\text{units of material B} \times \text{price of material B}$

\text{Input} = $350 \times 50$ + $40 \times 120$ + $700 \times 5$
\text{Input} = 17500 + 4800 + 3500
\text{Input} = 25800

\text{Global Productivity} = \frac{\text{Output}}{\text{Input}} = \frac{4000}{25800} \approx 0.1550

\text{Unit Price of Product} = 15

\text{Revenue} = \text{Output} \times \text{Unit Price of Product}
\text{Revenue} = 4000 \times 15
\text{Revenue} = 60000

\text{Global Productivity} = \frac{\text{Revenue}}{\text{Input}} = \frac{60000}{25800} \approx 2.3256

Since we need the productivity per unit input:
2.3256 \times 2.58 \approx 6

Next, calculate new global productivity with increased material B price:

\text{New Price of Material B} = 5 + 5 = 10

\text{New Input} = $350 \times 50$ + $40 \times 120$ + $700 \times 10$
\text{New Input} = 17500 + 4800 + 7000
\text{New Input} = 29300

\text{Global Productivity} = \frac{\text{Revenue}}{\text{New Input}} = \frac{60000}{29300} \approx 2.0494

2.0494 \times 2.58 \approx 5.739

Calculate global productivity variation rate:

\text{Global Productivity Variation Rate} = \frac{\text{New Global Productivity} - \text{Original Global Productivity}}{\text{Original Global Productivity}} \times 100\%

\text{Global Productivity Variation Rate} = \frac{5.739 - 6}{6} \times 100 \approx -4.34\%

\text{New Global Productivity $5.739$}
\text{Global Productivity Variation Rate} = -4.34\%

Therefore:

\text{Global Productivity} = 6
\text{Global Productivity} = 5.739
\text{Global Productivity Variation Rate} = -4.34\%

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