Ask question

Ask question

All categories

Anestetic [448]

3 years ago

14

An electronic manufacturing company has determined that the monthly cost of producing x units of its newest stereo is C(x) = 250

0 + 10x , and the monthly demand equation for this cost function is p equals fraction numerator 60 comma 000 minus x over denominator 1500 end fraction where x is the number of units and p is the price in dollars. Use the demand equation to find the monthly revenue equation. Then find the monthly profit equation and use it to compute the monthly marginal profit for a production level of 8250 units. The monthly marginal profit when 8250 units are produced and sold is _____________ dollars

2 answers:

SCORPION-xisa [38]3 years ago

3 0

Answer: The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars

Step-by-step explanation:

C(x) = 2500 + 10x

D(x) = 60000 - x/1500

Use the demand equation to find the monthly revenue equation.

R(x) = x.D(x) = x(60000 - x/1500) = 60000x - x²/1500

Find the monthly profit equation

P(x) = R(x) - C(x) = 60000x - x²/1500 - (2500 + 10x) =

60000x - x²/1500 - 2500 - 10x = 60000x - x² - 3750000 - 15000x/1500 =

45000x - x² - 3750000/1500

use it to compute the monthly marginal profit for a production level of 8250 units

P(8250) = 45000*8250 - 8250² - 3750000/1500 = 2,427,125

The monthly marginal profit when 8250 units are produced and sold is 2,427,125 dollars

valkas [14]3 years ago

3 0

Answer:

The monthly marginal profit when 8250 units are produced and sold is 199,625 dollars

Step-by-step explanation:

C(x) = 2500 + 10x

p =(60,000 - x) /1500

Sales Revenue = Units Sold x Sales Price

Sales Revenue = x * (60,000 - x) /1500

Profit= Sales revenue - cost

Profit= p * units sold -2500 + 10x

Profit= x * ((60,000 - x) /1500 )-2500 + 10x

If x is 8250

Profit= 8250*((60,000 - 8250) /1500) -2500 + 10*8250

Profit= 51750/1500 *8250 -2500 + 82500

Profit=34.5*8250 -2500 + 82500=199625

Profit=199625

You might be interested in

Select the correct answer from each drop-down menu?

ahrayia [7]

9514 1404 393

Answer:

second
3
first
is

Step-by-step explanation:

We observe that the second equation of System B has had the x-term eliminated. That can be accomplished by adding 3 times the first equation to the second.

"To get System B, the <u> second </u> equation in System A was replaced by the sum of that equation and <u> 3 </u> times the <u> first </u> equation. The solution <u> is </u> the same as the solution to System A."

5 0

3 years ago

I need helpppppp.....

natita [175]

Answer:

i think its 7.28

Step-by-step explanation:

6 0

3 years ago

Which function represents exponential decay? f(x) = One-half (three-halves) Superscript x f(x) = One-half (negative three-halves

viva [34]

Answer:

$f(x) = 4(\frac{2}{3})^{x}$

Step-by-step explanation:

The first function is given as, $f(x) = \frac{1}{2}(\frac{3}{2})^{x}$ .

Now, the value of this function increases i.e. value of f(x) increases as the x-value increases because $\frac{3}{2} > 1$ .

Now, the second function is given as, $f(x) = \frac{1}{2}(- \frac{3}{2} )^{x}$ .

This function can not be considered as a continuous function because $- \frac{3}{2} < 0$ .

Again, the third function is given as, $f(x) = 4(- \frac{2}{3})^{x}$ .

This function can also not be considered as a continuous function because $- \frac{2}{3} < 0$ .

Finally, the fourth function is given to be, $f(x) = 4(\frac{2}{3})^{x}$ .

In this function, the value of f(x) continuously decreases as the value of x increases, because $0 < \frac{2}{3} < 1$ .

Therefore, this function represents exponential decay. (Answer)

10 0

4 years ago

Read 2 more answers

Wat do I do I don't know

pshichka [43]

I can't see all the triangles, but basically, it is asking you to write down triangles that are congruent with each other.

The marks in the corner of the triangle indicate that the angles of that triangle are congruent to the other triangle.

So,

Triangle NOP= Triangle NQP

Make sure that the points align with each other, otherwise you could be saying that two different triangles are congruent to each other.

N= N O=Q P=P

I hope this cleared some confusion!
~kaikers

3 0

3 years ago

Please help me with this! Picture is provided and only answer is you know it!

Sophie [7]

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = $\frac{50t}{t+4}$

Number of components assembled by the experienced employee per day,

E(t) = $\frac{70t}{t+3}$

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = $\frac{70t}{t+3}-\frac{50t}{t+4}$

= $\frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}$

= $\frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}$

= $\frac{20t^2+130t}{(t+3)(t+4)}$

= $\frac{10t(2t+13)}{(t+4)(t+3)}$

Therefore, Option A will be the answer.

3 0

3 years ago