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
Leno4ka [110]
3 years ago
10

A furniture store has set aside 800 square feet to display its sofas and chairs. Each sofa utilizes 50 sq. ft. and each chair ut

ilizes 30 sq. ft. At least five sofas and at least five chairs are to be displayed.
a. Write a mathematical model representing the store's constraints.
b. Suppose the profit on sofas is $200 and on chairs is $100. On a given day, the probability that a displayed sofa will be sold is 0.03 and that a displayed chair will be sold is 0.05. Mathematically model each of the following objectives:

1. Maximize the total pieces of furniture displayed.
2. Maximize the total expected number of daily sales.
3. Maximize the total expected daily profit.
Mathematics
1 answer:
miskamm [114]3 years ago
6 0

Answer:

a) 50S + 30C ≤ 800

b) 1) MAX = S + C

   2) Max = 0.03S + 0.05C

   3) Max = 6S + 5C

Step-by-step explanation:

Given:

Total space = 800 square feet

Each sofa = 50 square feet

Each chair = 30 square feet

At least 5 sofas and 5 chairs are to be displayed.

a) Write a mathematical model representing the store's constraints:

Let S denote number of sofas displayed and C denote number of chairs displayed.

The mathematical model will be:

50S + 30C ≤ 800

At least 5 sofas are to be dispayed: S ≥ 5

At least 5 chairs are to be displayed: C ≥ 5

b)

1) Maximize the total pieces of furniture displayed:

S + C = MAX

2) Maximize the total expected number of daily sales:

MAX = 0.03S + 0.05C

3) Maximize the total expected daily profit:

Given:

Profit on sofas = $200

Profit on chairs = $100

Max Expected daily profit =

Max = (200S * 0.03) + (100C * 0.05)

<em>Max = 6S + 5C</em>

You might be interested in
There are 60 people waiting in line for a movie. If 20 percent are wearing hats, how many people in line were not wearing hats?
sammy [17]

Answer:

48 people

Step-by-step explanation:

To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.

4 0
2 years ago
Four times two less than a number is the same as thrice one more than the number. Find the number.
IgorLugansk [536]

Answer:

See below:

Step-by-step explanation:

We can first setup an equation by doing the following:

4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7  (5/7)

Whole proccess above!

If you would like an explanation, please let me know so.

Its basically algebra and it's mainly on how you interpret it!

Have a nice day!

5 0
2 years ago
Remarkably Fast Shipping charges $14 plus $1.50 per pound for shipping a package overnight.
BigorU [14]
Oh yeah I have to do that and I’m gonna be
7 0
2 years ago
Ana played 5 rounds of golf, and her lowest score was an 80
antoniya [11.8K]

The removal of the lowest round will affect the median, by changing it from 92 to 93, and the mean from 90.4 to 93

8 0
2 years ago
Read 2 more answers
Find the measure of each acute angle in the figure.
Artist 52 [7]

Answer:

Angle 1 = 46°

Angle 2 = 44°

Step-by-step explanation:

Given:

Angle 1 = (4x - 2)°

Angle 2 = (3x + 8)°

Angle 3 = 90°

Find:

All acute angle

Computation:

Using angle sum property

Angle 1 + Angle 1 + Angle 1 = 180°

(4x - 2)° + (3x + 8)° + 90° = 180°

7x + 6 = 90

7x = 84

x = 12°

So,

Angle 1 = (4x - 2)° = 4(12) - 2 = 46°

Angle 2 = (3x + 8)° = 3(12) + 8 = 44°

4 0
2 years ago
Other questions:
  • Problem Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf
    13·1 answer
  • Explain the steps of the life cycle of a star. Beginning with a nebula and ending with old age/death of a star, explain each ste
    8·1 answer
  • Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?
    6·2 answers
  • Wastewater is filling barrels at the rate of 7 quarts per hour. The recycling facility picks up 25 full barrels on each trip, an
    9·2 answers
  • Part a : solve - vp + 40 &lt; 65 for v .
    11·1 answer
  • 9. The temperature of a liquid that is increasing can be represented by the equation
    6·1 answer
  • A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen
    14·1 answer
  • Add 10 to z, then double the result<br> Do not simplify any part of the expression.
    8·1 answer
  • Please help me with this for brainliest
    11·2 answers
  • 6 times 72 divided by 32
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!