1) GetThere Airlines currently charges $200$ dollars per ticket and sells $40{,}000$ tickets a week. For every $10$ dollars they increase the ticket price, they sell $1000$ fewer tickets a week. How many dollars should they charge to maximize their total revenue?

2) What is the smallest distance between the origin and a point on the graph of $y=\dfrac{1}{\sqrt{2}}\left(x^2-3\right)$?

How would I do these two problems?


closed as off-topic by Ian Miller, Rohan, астон вілла олоф мэллбэрг, pjs36, Leucippus Jan 22 '17 at 6:13

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Ian Miller, Rohan, астон вілла олоф мэллбэрг, pjs36, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Hi, welcome to Math.SE. Please indicate what you have tried, your thoughts on the problem and where you got stuck. This will help people better tailor their answer to your background and situation. It will also demonstrate that you are interested in your question and not just looking for someone to do your homework for you - Math.SE is not a homework site. $$$$ Also split your two questions into two separate posts. $\endgroup$ – Ian Miller Jan 22 '17 at 4:12

answer to the second question:

A point on the curve is given by: $$({x,\frac{{1}}{\sqrt{2}}\cdot(x^2-3)})$$

distance of a point on the curve from origin is given by:

$$D= \sqrt{x^2 + \frac{1}{2}\cdot(x^2-3)^2}$$

differentiate w.r.t $x$ and equate it to zero and simplify the equation to $x(x^2-3x+1)=0$ and find $x$ to get minima.

  • $\begingroup$ calculation part is skipped for you to solve yourself. $\endgroup$ – Pushkar Soni Jan 22 '17 at 5:48

Not the answer you're looking for? Browse other questions tagged or ask your own question.