Question

A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. however, the extruder breaks down an average of two times every day it operates. if denotes the number of breakdowns per day, the daily revenue generated by the machine is = 1600 − 50 2 . find the expected daily revenue for the extruder.

Answer 1

The expected daily revenue for the extruder, which breaks down an average of two times per day, is $1400, calculated using the formula R = 1600 - 50X^2 by substituting 2 for X.

Step-by-step explanation:

The question involves calculating the expected daily revenue for an extruder that breaks down on average two times per day. The formula for the daily revenue generated by the machine is R = 1600 - 50X^2, where X denotes the number of breakdowns per day. Given that the extruder breaks down on average two times per day, we can substitute 2 for X in the formula to find the expected daily revenue.

By substituting the value of X into the equation, we get R = 1600 - 50(2)^2 = 1600 - 200 = $1400. Therefore, the expected daily revenue for the extruder is $1400.