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
DerKrebs [107]
3 years ago
12

Brach and Larue is a home goods store chain, and it is about to introduce a new convection oven that’s expected to sell very wel

l across its stores. These are the projected revenue and cost functions for the ovens:
R(x) = -13.85x2 + 1,660x
C(x) = 55,400 – 279x

What is the maximum profit that can be made from selling the ovens?
Mathematics
1 answer:
zvonat [6]3 years ago
6 0

Answer:

\$12,465

Step-by-step explanation:

The functions for cost and revenue are given below:

Projected \:Revenue,R(x)=  -13.85x^2 + 1660x\\$Projected Cost, C(x)=55400 -279x\\Projected Profit = Revenue-Cost=R(x)-C(x)\\=-13.85x^2 + 1660x-(55400 -279x)\\=-13.85x^2 + 1660x-55400 +279x\\P(x)=-13.85x^2 + 1939x-55400

The profit will be maximized at its <u>line of symmetry,</u>x=-\dfrac{b}{2a}<u />

From P(x), a=-13.85, b=1939

<u>Line of symmetry,</u>

<u />x=-\dfrac{b}{2a}=-\dfrac{1939}{2(-13.85)}=70<u />

<u>The maximum profit that can be made will occur when x=70</u>

<u />P(x)=-13.85x^2 + 1939x-55400\\P(70)=-13.85(70)^2 + 1939(70)-55400\\=\$12,465<u />

The maximum profit that can be made form the sales of the oven is $12,465.

You might be interested in
camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high ? show all wo
gtnhenbr [62]

              Camel back Mountain = 15,168 inches (1,264 feet)

  • 1 Penny = 0.061 (.0610) Inches
  • 10 Penny = 0.61 (.610) Inches
  • 100 Penny = 6.1 (6.10) Inches
  • 1,000 Penny = 61 (61.0) Inches
  • 10,000 Penny = 610 (610.0) Inches

                                                   <u>-SOLVING-</u>

10,000 Penny = 610 inches PLUS

1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)

100 Penny = 6.1 inches PLUS

10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)

1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)

                                            -<u>FINAL ANSWER-</u>

610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.

3 0
2 years ago
Carl works at a garment factory and sews buttons on shirts. For each shirt he completes that passes inspection, he earns $2. How
Ratling [72]

do 2*52 which gives you 104 so 104 dollars

6 0
3 years ago
Point A is located at (-6, 2). Which point on the coordinate plane shows a reflection of point A across the
Mrrafil [7]
I think (-6,-2) because it would switch into the all negative quadrant making them both negative.
3 0
3 years ago
Divide. Reduce the answer to lowest terms. 3/4 ÷ 1/3
Slav-nsk [51]

Answer:

9/4

Step-by-step explanation:

When you divide by a number, whole number or fraction, it's exactly like multiplying by its inverse.

Like if you divide 4 by 2,  you can easily express that has 4 * 1/2.

In the same manner, when you divide 3/4 by 1/3, you can say that you're multiplying 3/4 by 3/1

The result of 3/4 * 3/1 = 9 / 4

Which you cannot simplify because 9 and 4 don't have any common factors (other than 1).  The only other way to express it would be 3²/2² or (3/2)²

6 0
3 years ago
Mike wants to make meatloaf. His recipe uses a total of 5pounds of meat
Vikki [24]

Answer:

question

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • (URGENT) Someone please help I do not get these questions and I only get one try to insert the correct answer. (IF HELPFUL WILL
    6·2 answers
  • 5 more than the product of 4 and t
    11·1 answer
  • Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular's plan charges $39.99 per mont
    6·1 answer
  • Find two consecutive odd integers whose sum is 111
    6·2 answers
  • Plsss help want is the second answer
    13·2 answers
  • Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
    15·1 answer
  • What are the domain and range of the ordered pairs? <br><br> (-6,5) (-3,2) (-1,0) (5,-4)
    9·1 answer
  • A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening
    5·1 answer
  • What is the slope of the line?
    15·2 answers
  • Which vocabulary word best describes the math sentence you see here?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!