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S_A_V [24]
3 years ago
10

Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that

​ revenue, Upper R (x )​, and​ cost, Upper C (x )​, are in thousands of​ dollars, and x is in thousands of units. Upper R (x )equals9 x minus 2 x squared​, Upper C (x )equalsx cubed minus 3 x squared plus 4 x plus 1
Mathematics
1 answer:
V125BC [204]3 years ago
5 0

Answer:

-1.39

Step-by-step explanation:

Revenue and cost as a function of units sold are u(x) = 9x-2x^{2}andc(x)=x^{3}-3x^{2}+4x+1  respectively.

we are have to know for which value or input units are these functions at maximum which translates to for how many units is the revenue maximum and for how many same units is our cost minimum.

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Alex17521 [72]
I think the answer is 43.2 degrees
5 0
3 years ago
Solve by completing the square. Round your answers to the nearest tenth and then locate the greater solution. <img src="https://
Andrews [41]

Step-by-step explanation:

Step 1: Write our Givens

{x}^{2}  + 10x - 7 = 0

Move the constant term ,(the term with no variable) to the right side.

Here we have a negative 7, so we add 7 to both sides

{x}^{2}  + 10x = 7

Next, we take the linear coeffeicent and divide it by 2 then square it.

( \frac{10}{2} ) {}^{2}  = 25

Then we add that to both sides

{x}^{2}  + 10x + 25 = 7 + 25

{ {x}^{2} } + 10x + 25 = 32

Next, we factor the left,

(x + 5)(x + 5) = 32

we got 5 because 5 add to 10 and multiply to 25 as well.

so we get

(x + 5) {}^{2}  = 32

This is called a perfect square trinomial.

Next, we take the square root of both sides

x + 5 = ± \sqrt{32}

± menas that we have a positive and negative solution.

Subtract 5 form both side so we get

x =  - 5± \sqrt{32}

The greater solution is when sqr root of 32 is positive so the answer to that is

\sqrt{32}  - 5 = 0.7

3 0
2 years ago
Find the percent of change when the price of a radio changes from $40.00 to $44.00.
HACTEHA [7]
1) 10%
2)12%
3)20%
4)8%
5)50%
7 0
3 years ago
Solve the equation 6.8x + 9.3 = -9.4 + 3.4 (2-5x)
neonofarm [45]

Answer:

<h2>x = -0.5</h2>

Step-by-step explanation:

6.8x + 9.3 = -9.4 + 3.4 (2-5x)\qquad\text{multiply both sides by 10}\\\\68x+93=-94+34(2-5x)\qquad\text{use distributive property}\\\\68x+93=-94+(34)(2)+(34)(-5x)\\\\68x+93=-94+68-170x\\\\68x+93=-26-170x\qquad\text{subtract 93 from both sides}\\\\68x=-119-170x\qquad\text{add 170x to both sides}\\\\238x=-119\qquad\text{divide both sides by 238}\\\\x=-\dfrac{119}{238}\\\\\boxed{x=-\dfrac{1}{2}}

3 0
3 years ago
Read 2 more answers
Help me with this please! :D
Nady [450]

Answer:

#1=2

#2= 14

#3= 26

#4= 32

Step-by-step explanation:

y=6x-16

Lets use the first one as an example: since x is our variable we can plug in 3 into the equation to make y=(6x3)-16. 6x3=18, so y=18-16 which is 2. You can plug in any other number to find your answer as long as you follow the pattern in the equation.

8 0
3 years ago
Read 2 more answers
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