Question

The average cost per unit c(x) to produce x units of lumber is given byc * (x) = 400/(x + 25) if the cost per unit is \$1.00 how many units have been produced if necessary round your answer to the nearest whole unit. the answer is 375

Answer 1

The number of units of lumber that have been produced is 375

Explanation:

From the question,

The average cost per unit c(x) to produce x units of lumber is given by

c(x) = 400/(x + 25).

Now, to determine how many units have been produced (that is, x) if the cost per unit is $1.00 (that is, c(x) = $1.00), we will put in the value into the given equation to determine x.

c(x) = 400/(x + 25)

c(x) = $1.00

∴ 1.00 = 400/(x + 25)

Then,

(x + 25) × 1.00 = 400

x + 25 = 400

x = 400 - 25

x = 375

Hence, the number of units of lumber that have been produced is 375.