![school4life110](/avatars/23001.jpg)
school4life110
27.02.2020 •
Business
The profit function for a certain commodity is P(x) = 180x − x2 − 1000. Find the level of production that yields maximum profit, and find the maximum profit.
Solved
Show answers
More tips
- F Family and Home How to Choose the Perfect Air Conditioner for Your Life...
- H Health and Medicine Discover the Hidden Principles and Real Results of the Japanese Diet...
- H Health and Medicine Understanding Pregnancy Tests: What You Need to Know?...
- H Health and Medicine What Makes a Man a Man?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
Answers on questions: Business
- B Business B) kathy recently graduated college and her grandparents give her $10,000 as a graduation present. she can either spend it all or invest it in a 10yr mutual fund paying...
- B Business Why would the owner withdraw assets other than cash...
- S Social Studies ¿En qué nos parecemos a China Continental?,¿qué relación tiene esta parecido con el término GLOBALIZACIÓN?...
- M Mathematics If f(x) = x²-2 and g(x)=6x-4 find a) f(x) + g(x) b). g(x) - f(x) c) f(x) * g(x)...
- M Mathematics What kind of sequence 1/3, 2/9, 3/64, 4,81...
- M Mathematics Ezra enjoys gardening. Let SSS represent the number of sunflower plants and LLL represent the number of lily plants Ezra s water supply can water. 0.7S+0.5L \leq 110.7S+0.5L≤110,...
Ответ:
x= 90 units, maximum profit =$7100
Explanation: p(x) = 180x - x² - 1000
By taking the first derivative of the profit function and equating the resulting function to zero and solve the resulting equation, we have the stationary point of the function which is the production level that yields maximum profit.
d{p(x)}/dx = 180 - 2x.
For stationary point, d{p(x)}/dx = 0
Hence 180 - 2x = 0
2x = 180, x = 90 units.
This implies that 90 units must be produced to attain maximum profit.
To get our maximum profit, we will now substitute the level at which we have maximum profit (x=90 units) into the profit function.
P(x) max = 180(90) - 90² - 1000
P(x) max = 16200 - 8100 - 1000
P(x) max = $7100
Ответ:
Ty!
Explanation:
Have A Wonderful Day !!