Question

Производительность нового станка зависит от времени как m = (150+10e^(-0.8t)) ед./ч. Определить, сколько произведено продукции за 110 ч.

Answer 1

Ответ
m(110) = (150+10e^(-0.8*110)) = (150+10e^(-88))

Answer 2

Calculation of Productivity

To determine the amount of product produced by the new machine over 110 hours, we can use the given productivity function:

m = 150 + 10e^(-0.8t)

Where: - m represents the productivity in units per hour - t represents the time in hours

We can use this function to calculate the total amount of product produced over 110 hours.

Calculation Process

Substitute t = 110 into the productivity function to find the total amount of product produced over 110 hours:

m = 150 + 10e^(-0.8*110)

Now, let's calculate the value of m using the given formula.

Calculation

Using the given formula, the total amount of product produced over 110 hours is approximately m ≈ 159.46 units/hour.

Therefore, the total amount of product produced over 110 hours is approximately 17541 units.

This calculation is based on the given productivity function and the specified time period.