# Profit functions

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Crystal Images is a manufacturer of collectible statues. The price per statue at which x statues can be sold in a month is given by p(x)= 655 - 10x dollars. The monthly cost of producing x statues is C(x) = 4800 + 100x dollars. Assume that 0<- x <- 50. (**the <- sign is the greater than or equals to sign, Im not sure how write it on the computer.**)

Determine the number of statues that must be sold in order to have a profit of at least $2000. Show all supporting work (graphs, etc.).

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##### Solution Summary

This shows how to determine the number of units sold to make a profit.

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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