The profit function p(x) of a tour operator is modeled by p(x) = −2x^2 + 700x − 10000 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?

Question

The profit function p(x) of a tour operator is modeled by p(x) = −2x^2 + 700x − 10000 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?

kirbykirby · Answer

This is a parabola, and the coefficient of the $x^2$ term is negative so the parabola will be facing this way $\cap$

kirbykirby · Answer

So what you can is sketch where the profit of $p(x)=50,000$ shows on the graph, and solve the equation $50,000=-2x^2+700x-10,000$.

kirbykirby · Answer

The values of interre|dw:1424720391556:dw|