Question

How do I do this?

Answer 1

A manufacturer finds that the cost to produce x items is \[$ (\frac{ x^2 }{ 4 }+35x+25)\] and the price that they can charge for each item is \[$(50-\frac{ x }{ 2 })\].

1.)Write a function in terms of x for the profit that the company makes in producing x items.
2.) Determine the number of items that the company should produce to maximize their profit.

Answer 2

@FibonacciChick666

Answer 3

ok, so in general, how do we find a profit?

Answer 4

By subtracting from the amount that you spent

Answer 5

what are you subtracting that from?

Answer 6

The 1st equation minus the second equation?

Answer 7

no, for profit, what do you subtract the amount you spent from?

Answer 8

The amount it takes to make

Answer 9

that's the same as the amount you spent

Answer 10

ok so, profit is what you sold it for minus the cost to produce.

Answer 11

so, can you put what they tell you into this formula? set it equal to P(x)

Answer 12

\[P(x) = (50-\frac{ x^2 }{ 2 })-(\frac{ x^2 }{ 4 }+35x+25)\]

Answer 13

Yea, there we go

Answer 14

So that would be my equation right?

Answer 15

yea

Answer 16

you can simplify it though

Answer 17

I recommend doing so

Answer 18

\[p(x)=-\frac{ 3 }{ 4 }+35x+25\]

Answer 19

@FibonacciChick666 is this correct

Answer 20

Sorry, spaced out. WHat happened to your x^2?

Answer 21

and you have to distribute the minus sign