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QUESTION: I am really in need of your help. I don`t understand this question what so ever, and i think you may be able to help me, i followed some other questions from this website but it just did not make sense. I really need your help and i would GREATLY appreciate itt thankk you..

the demand function for a new product is p(x )=-4x+42.5 . x is the quantity sold in thousands and p is the price in dollars. there are three different types of machines. The cost function for each machine is shown.

machine a: c(x )=4.1x+92.16
machine b: c(x )=17.9x+19.36
machine c: c(x )=8.8x+55.4

investigate the break even quantities for each machine. Which machine would you recommend to the company?


thannkkk youu!


ANSWER: Hi Ajanthana,

I think you may have typed the question in wrong, according to the numbers you gave me, you never break even for any of the machines.

Can you please check if you imputed the correct numbers?

Thanks,
Robi



---------- FOLLOW-UP ----------

QUESTION: Thank you for replying so quicklyy : ]
i just rechecked, the question is typed correctly from what i cann tell, i found break even points, but i`m not sure if its correct. I changed my p formula into a revenue equation and then subbed in the cost equation and then moved it all around and got a quadratic and finally i subbed it into the quadratic formula nd figured out what x was for eacxh equation and subbed it into the original cost equation and it gave me a few numbers, which i have no idea are right or wrong, i`m so confused at this poiiint..

thank you

Answer
Hi Ajanthana,

I guess that I cannot then on this question since I'm not sure I understand what breaking even means. I just haven't learned business related mathematics.

Perhaps you can ask another expert on this website.

I'm truly sorry,
Robi

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Robi Bhattacharjee

Expertise

I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.

Experience

I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).

Organizations
I am in the San Diego Math Circle

Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.

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