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
scZoUnD [109]
3 years ago
12

The demand function for a type of portable radio is given by the model d=85−6x2, where d is measured in dollars and x is measure

d in millions of units. The production cost is $25.00 per radio. Given that profit = revenue - costs answer the following parts. (Hint: Revenue is demand times number sold. Costs are productions costs per number sold.)
Part A: Write an equation giving profit as a function of x million radios sold. Part B: The company currently produces 3 million radios and makes a profit of $18,000,000, but would like to scale back production. What lesser number of radios could the company produce to yield the same profit?
Part C: Give a graph for the profit and label the parts of the graph.

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Answer:

Part A : The required Profit equation : \text{Profit}= 60x-6x^3

Part B : 0.303 million radios the profit became 18 million.

Part C : The graph is attached below.

Step-by-step explanation:

Given : The demand function for a type of portable radio is given by the model d=85-6x^2, where d is measured in dollars and x is measured in millions of units. The production cost is $25.00 per radio.  

Note: Given that profit = revenue - costs

Revenue is demand times number sold.

Costs are productions costs per number sold.

To find :

Part A: Write an equation giving profit as a function of x million radios sold.

Solution : Let x be the number of radios.

Revenue is demand times number sold

\text{Revenue}= x\times (85-6x^2)

\text{Revenue}= 85x-6x^3

Let the cost of x number of radios is 25x.            

Profit = Revenue - Costs

\text{Profit}= 85x-6x^3-25x

P(x)= 60x-6x^3

The required Profit equation : P(x)= 60x-6x^3

 

Part B : The company currently produces 3 million radios and makes a profit of $18,000,000, but would like to scale back production. What lesser number of radios could the company produce to yield the same profit?

Solution :  It is shown graphically which is attached in part c

When we scale back production we get that,

When we sold 0.303 million radios the profit became 18 million.

Part C : Give a graph for the profit and label the parts of the graph.

The graph is attached below which shows the profitable radios points.

You might be interested in
What s the answer giving brainliest hehe
telo118 [61]

Answer: B.

Step-by-step explanation: B is the only option that provides the division symbol.

5 0
2 years ago
What is the fraction of 52 out of 208. <br><br> HURRY
Eva8 [605]

Answer:

uhm 1/4???

Step-by-step explanation:

8 0
3 years ago
Use dimensional analysis to convert .33 kilometers to meters.
lubasha [3.4K]
Since 1 km = 1000 m then .33 km = 350 m

Hope this helps!
3 0
3 years ago
Nicole runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?​
nikdorinn [45]

Answer:10.5 ml

Step-by-step explanation:do 75/50=1.5

Do 7 times 2.6 and get 7+2.5=10.5 miles

4 0
2 years ago
What is the answer to this question?
blondinia [14]
The area of the shape is 230 cm.

4 0
3 years ago
Other questions:
  • given the equations 9x + (3)/(4)y + 6 and 2x + (1)/(2)y=9 by what factor would you multiply the sencond equation to eliminate y
    11·1 answer
  • The fifth-grade classes at Brookfield School used five identical buses to go on a field trip. •There were a total of 40 seats on
    15·1 answer
  • To make 3 dozen cookies, a recipe calls for 4 eggs and 1/2 cup of chocolate chips. Ben wants to make 12 dozen cookies for a clas
    13·2 answers
  • What is the answer to this problem -8(8+n)-6(7n-3)=54
    9·2 answers
  • A machine can make a box in 1.3 seconds how many boxes can the machine make in a hour
    15·1 answer
  • Which statement is true about the data?
    11·2 answers
  • Find the eleventh term of the arithmetic sequence whose sixth term is 41, and whose fourteenth term is 97?
    7·1 answer
  • 44. The length of a road is 380 m, correct to the nearest 10 m. Maria runs along this road at an average speed of 3.9 m/s. This
    6·1 answer
  • Which graph represents the solution of the inequality -3x + 1 less than 10
    7·1 answer
  • How to do this cause I am confused
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!