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anonymous
 one year ago
Help with problem  WILL REWARD!
The estimated monthly profit realizable by Hanover Jones Inc, for manufacturing and selling x units of its toy boats is P(x) = 4x^2+988x  250 dollars.
a. Determine how many toy boats should the Hanover Jones Inc. produce per month in order to maximize its profits.
b. What is the maximum monthly profit realizable?
anonymous
 one year ago
Help with problem  WILL REWARD! The estimated monthly profit realizable by Hanover Jones Inc, for manufacturing and selling x units of its toy boats is P(x) = 4x^2+988x  250 dollars. a. Determine how many toy boats should the Hanover Jones Inc. produce per month in order to maximize its profits. b. What is the maximum monthly profit realizable?

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AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.3Do you know how to find the vertex of an equation?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I am struggling with that

TheCatMan
 one year ago
Best ResponseYou've already chosen the best response.0Try solving as y=4x^2+988X250 by by putting it in standard form because my teacher showed a variable such as P(x) is the same as a y

TheCatMan
 one year ago
Best ResponseYou've already chosen the best response.0y=16x+988x250 16x y16x=988x250 /x /x y16= 988250 +16 +16 y= 754 use as much of this as possible

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.3You can not do that. That isn't even possible to do...

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.3The xcoordinate of the vertex for the equation: \(\sf \color{blue}{a}x^2+\color{red}{b}x+c\) is \(\sf\Large h=\frac{\color{red}{b}}{2\color{blue}{a}}\) The h is because the vertex is written as \(\sf (h,k)\) so the xcoordinate of the vertex would be 'h'.

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.3@TheCatMan What you are suggesting to do is: \(\sf\LARGE \frac{y16x}{x}=\frac{988x250}{x}\) and you have to use this rule when simplifying: \(\sf\Large \frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}\)

TheCatMan
 one year ago
Best ResponseYou've already chosen the best response.0well im not the best at math i will admit so i cant say much

TheCatMan
 one year ago
Best ResponseYou've already chosen the best response.0i really should be demoted for lack of brain power.

AbdullahM
 one year ago
Best ResponseYou've already chosen the best response.3@ahl829 Can you calculate the 'h' value from what I have given you? That will give you your answer for part a.

TheCatMan
 one year ago
Best ResponseYou've already chosen the best response.0the equation that you wrote is like russian to me since im only beginning Algebra 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I believe so. Using your equation  i calculated: h=b/2a = 988/2(4) = 988/8 = 123.50 The $123.50 should transfer to the answer for question a of how many boats per year to be profitable. Since you can't make 1/2 a boat  it would be rounded to 124. Then I would take 124 and plug it into the original equation such as: P(x) = 4(124)^2+988(124)  250 = $60,758  which would answer part b of maximum monthly profit ? Thats how I thought it through in my head  is that correct?
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