Hi I have a question which i am stuck on... ill first write the question than say where I am and someone could correct me that way. Thanks in advance
Question:
Jim sells pies as a fundraiser. Last year he sold the pies for 15 dollars each and sold 133. Jim and his friends used their math skills and found that for every two dollar decrese below 15 dollars, they would sell ten more pies. Their total cost to run this funraiser is C(x) = 19x = 1545 where 'x' represents the number of 2 dollar decreases.
State the corresponding revenue fuction:
I got [ -20x(squared) - 116x + 1995 ]
*PLZ correct me if I am wrong*
Determine the corresponding profit function
I got [ -20x(squared) - 135x + 450 ]
*PLZ CORRECT*
How many pies must they sell to maximize profit?
= -20x(squared) - 135x + 450
= -20(x^2 + 6.75x) + 450
= -20(x^2 + 6.75x +11.39 - 11.39) + 450
= -20(x^2 + 6.75x +11.39) -227.8 + 450
= -20(x^2 + 6.75x + 11.39) + 222.2
= -20(x + 3.375)^2 + 222.2
**Thats what I got but to me it duznt make sense.. someone plz correct me or If i am right which i doubt tell me. Thanks and the last question is:
Determine the price they should charge in order to break even. How many pies will they sell at the break even point(s). In what price range will they make a profit.
I havent attempted this yet because first i wanna make sure of the awnser above. could someone plz help me out with that it would really be appreciaed thanks...
And another question I have besides the one above is
The difference between two numbers is 7. Find the numbers if the result of adding their sum and their product is a minimum.
*I do not understand it at all*
Thanks in advance
Question:
Jim sells pies as a fundraiser. Last year he sold the pies for 15 dollars each and sold 133. Jim and his friends used their math skills and found that for every two dollar decrese below 15 dollars, they would sell ten more pies. Their total cost to run this funraiser is C(x) = 19x = 1545 where 'x' represents the number of 2 dollar decreases.
State the corresponding revenue fuction:
I got [ -20x(squared) - 116x + 1995 ]
*PLZ correct me if I am wrong*
Determine the corresponding profit function
I got [ -20x(squared) - 135x + 450 ]
*PLZ CORRECT*
How many pies must they sell to maximize profit?
= -20x(squared) - 135x + 450
= -20(x^2 + 6.75x) + 450
= -20(x^2 + 6.75x +11.39 - 11.39) + 450
= -20(x^2 + 6.75x +11.39) -227.8 + 450
= -20(x^2 + 6.75x + 11.39) + 222.2
= -20(x + 3.375)^2 + 222.2
**Thats what I got but to me it duznt make sense.. someone plz correct me or If i am right which i doubt tell me. Thanks and the last question is:
Determine the price they should charge in order to break even. How many pies will they sell at the break even point(s). In what price range will they make a profit.
I havent attempted this yet because first i wanna make sure of the awnser above. could someone plz help me out with that it would really be appreciaed thanks...
And another question I have besides the one above is
The difference between two numbers is 7. Find the numbers if the result of adding their sum and their product is a minimum.
*I do not understand it at all*
Thanks in advance
