1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harkovskaia [24]
3 years ago
6

The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug

ht in by selling all x items is R = 66 x − 0.2 x 2 . How many items must be sold to obtain a weekly profit of $ 200 ?
Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640

To have a profit of 200, we need to sell:

-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2}  = 60

The company must sell 60 or 70 items to obtain a weekly profit of 200.

You might be interested in
Is Amy’s answer accurate
Rom4ik [11]

Answer:

What do you mean??

4 0
3 years ago
Help pls I need help pls
-Dominant- [34]
What are you supposed to do?
3 0
3 years ago
If y varies directly as x and y-21 when x<br> is 7, find x when y = -5.
klasskru [66]

Step-by-step explanation:

Since, y varies directly as x:

\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k =  \frac{21}{7}  = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \:  \: y =  - 5  \: in \: (2)\\  - 5 = 3x \\ x =  \frac{ - 5}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{x =  -  \frac{5}{3} }}

6 0
3 years ago
Read 2 more answers
The price of a certain new car increases by the same amount each year. The first year it was $23,000 in in the 10th year it was
Katyanochek1 [597]
3450 is theeee answer!!!!!!!!!!!
7 0
3 years ago
Read 2 more answers
Please help! Which is not equal to the others?
Fudgin [204]
The answer would be C.
Sin2 cot2=sin2*cos2/sin2=cos2
Which is not equal to the others.
Hope this helps:)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the volume of a cylinder with the height of 4 in and base 5 in
    6·1 answer
  • The total cost of a cab from downtown to the airport is $80.20. If you give the driver a 25 percent tip for getting to the airpo
    10·2 answers
  • How do you write the proportion 9:36 = 10:40 using words ?
    9·1 answer
  • The product of two whole numbers is 702 and their sum is 53. What are the two numbers?
    15·1 answer
  • What is the solution of x+4/2x-1&lt;0
    8·2 answers
  • Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100
    10·2 answers
  • The sum of 7 and the cube of a number as an equation
    9·2 answers
  • Math please help, it is Aleks
    8·1 answer
  • Use the figure below to determine the relationship between _DBE and BED​
    5·1 answer
  • He .......... be eating pizza.​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!