The profit function p(x) of a tour operator is modeled by p(x) = −2x^2 + 700x − 1, where x is the average number of tours he arranges per day. what is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000?

The correct answer is D). Between 150 and 200; exclusive

Step-by-step explanation:

Given profit function p(x) of a tour operator is modeled by

p(x)=

Where, x is the average number of tours he arranges per day.

To find number of tours to arrange per day to get monthly profit of at least 50,000$:

Now, he should make at-least 50000$ profit.

we can write as p(x)>50000$

Roots are x is 150 and 200

(x-150)(x-200)>0

Case 1 : x>150 and x>200

x>150 also satisfy the x>200.

Case2: x<100 and x<200

x<200 also satisfy the x<100

Thus, the common range is 150<x<200

The correct answer is D). Between 150 and 200; exclusive

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^