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
Sergio [31]
3 years ago
10

A manufacturer of tennis rackets finds that the total cost of manufacturing x rackets/day is given by 0.0003x2 + 4x + 500 dollar

s. Each racket can be sold at a price of p dollars, where p = −0.0002x + 9 Find an expression giving the daily profit P for the manufacturer, assuming that all the rackets manufactured can be sold. Hint: The total revenue is given by the total number of rackets sold multiplied by the price of each racket. The profit is given by revenue minus cost. (Simplify your answer completely.)
Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

PT =-0.0005^2 +5x - 500

Step-by-step explanation:

We have price (P) = -0.0002x + 9

to calculate Total revenue (TR) we have to multiply Price by Production quantity.

TR=P * X   , we denote production quantity with the letter X.

TR=(-0.0002x + 9)*x  

We apply distributive law and then we have:

TR=-0.0002x^2 + 9x  , this is the Total revenue (TR) of selling X amount of production at a P price.

Now we only have to find the Profit (PT) using the formula:

PT=TR - TC  , TR is total revenue and TC is total cost

The expression of the daily profit (PT) for the manufacturer is:

PT=-0.0002x^2 + 9x - (0.0003x^2 + 4x + 500)

PT= - 0.0002^2 + 9x -0.0003^2 -4x -500

PT =-0.0005^2 +5x - 500

You might be interested in
Point A is located at (−2, −6), and D is located at (−6, 8). Find the coordinates of the point that lies halfway between A and D
Afina-wow [57]

Answer:

(-4,1)

Step-by-step explanation:

Point A is located at (−2, −6), and D is located at (−6, 8).

We need to find the midpoint of A  and D

Mid point formula is (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Point A is (-2,-6) that is (x1,y1)

Point D is (-6,8) that is (x2, y2)

plug in the values in the formula

(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

(\frac{-2-6}{2}, \frac{-6+8}{2})

(\frac{-8}{2}, \frac{2}{2})

Mid point is (-4, 1)

5 0
3 years ago
Read 2 more answers
Find the f(0) and f(1)
Kruka [31]

Answer:

C

Step-by-step explanation:

to evaluate substitute x = 0 and x = 1 into f(x)

note that a^{0} = 1

f(0) = 45 × (1/3)^{0} = 45 × 1 = 45

f(1) = 45 × (1/3)^{1} = 45 × \frac{1}{3} = 15


5 0
3 years ago
Read 2 more answers
Using the algebraic expression for 4n+6 what is the greatest whole number value of n that will give you a result less than 100
Alex777 [14]

Answer:

8n

Step-by-step explanation:


8 0
3 years ago
Draw to show how you can use models to compare a 345 and 391
natali 33 [55]
345= 3 hundreds, 4 tens, and 5 ones 
391= 3 hundreds, 9 tens, and 1 one
You can use the model I attached to help u see it better.
Hope this helps!

6 0
3 years ago
The sum of two consecutive numbers is 71. Find the smallest number in the list
bazaltina [42]
35+36=71
35 is the answer
5 0
3 years ago
Other questions:
  • Kyra is building a dollhouse. The carpet for the bedroom is 27 square inches.The length of the bedroom is 6 inches. How long is
    11·1 answer
  • Joe and grace are baking cookies they need a total of 2 cups of sugar for the recipe joe has 11/10 cups of sugar and grace has 3
    11·1 answer
  • Evaluate (-12)(-2) ^2
    13·1 answer
  • Brian cut a piece of cardboard in the shape of a trapezoid the area of the cut out is 43.5 cm² if the bases are 6 cm And 8.5 cm
    5·1 answer
  • Let set A={1, 2} and B be {3,4} then AX B (Cartesian product of set A and B) is a) {1,2,3,4} b) {(1,3).(2,4)} c) {(1,3), (2, 4),
    10·1 answer
  • How to factor the. problem completely
    9·1 answer
  • What is the slope of the line that contains these points? x=9,13,17,21 and y =-24,-21,-18,-15
    9·1 answer
  • A recipe for chicken marinade says, ''Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice. ''if you need 42 cups of m
    8·1 answer
  • Can someone please help me​
    11·1 answer
  • Fifty 11th graders were asked to select a favorite pattern out of 6 choices.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!