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
MariettaO [177]
3 years ago
15

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

igures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookshelf cost him $20.00 and the materials for each table cost him $45.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookshelf and a profit of $100.00 for each table. How many of each piece of furniture should Andrew make to maximize profit?
Mathematics
1 answer:
olasank [31]3 years ago
5 0
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x =  number of bookshelves built.
Let y =  number of tables built.

The total number of bookshelves and tables =  18.
Therefore
x + y = 18.
 That is,
 y = 18 - x                    (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120            (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
  x = 8.4
From (1),obtain
 y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 =  $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.
You might be interested in
Dani bought a total of 8 pounds of peanuts and cashews. Peanuts, p, cost $2 per pound and cashews, c, cost $5 per pound. The tot
OLEGan [10]

Answer:

C. {2p + 5c = 8

p + c = 25

is the system of equation

6 0
2 years ago
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24 g to 56 g (picture)​
ryzh [129]

9514 1404 393

Answer:

  3/7

Step-by-step explanation:

The fraction is ...

  24\text{ g to }56\text{ g}=\dfrac{24\text{ g}}{56\text{ g}}=\dfrac{3}{7}\cdot\dfrac{8\text{ g}}{8\text{ g}}=\boxed{\dfrac{3}{7}}

5 0
3 years ago
Read 2 more answers
Select the correct answer.
OlgaM077 [116]

Answer:

February 15 a.m

Step-by-step explanation:

It is the highest bar in the graph

8 0
3 years ago
Put the following points into Slope Intercept Form: (4,3) (9,18)
zepelin [54]

Answer:

y=3x-9

Step-by-step explanation:

put into slope formula y2-y1/x2-x1 and then after finding the slope you put on the points into the equation y=3x+b and you find the b giving you the equation

4 0
3 years ago
Evaluate the limit. lim x ? 5 (x-5)^2/x-5
slega [8]
As x approaches 5
hmm, we can divide the (x-5) from top and bottom to get x-5
if we input 5 for x we get
5-5=0
it approaches 0 as x approaches 5
7 0
3 years ago
Other questions:
  • (Please help!!!!!) Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix.For every 9 pi
    14·2 answers
  • 2345364756×324567890-987654456787675645456÷89697976
    11·1 answer
  • The height of water in a rectangular tank is given by h(w), where w is the volume of water (in liters) that has been removed fro
    15·1 answer
  • Multiply.
    12·1 answer
  • Hillside Garden Co. uses the aging of accounts receivable method to determine its allowance for uncollectible accounts. On Janua
    9·1 answer
  • 100 points
    9·2 answers
  • Solve for the equation: y/5 = 10 *
    13·2 answers
  • If f(x) = 2x - 4 and g(x)= -5x + 6, then what is f(g(x))?
    12·1 answer
  • Okokokokokokokokokokokokokokokokokokok
    8·1 answer
  • 3a²+ab²-b² x a²-2ab²-3b²<br> /a+b
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!