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
grigory [225]
2 years ago
11

A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover

, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 3,000 6,000
Los Angeles 1,000 6,000 3,000

Its sales in January were as follows: 700 hardcover books, 1,200 softcover books, and 2,000 plastic books sold in San Francisco, and 400 hardcover, 200 softcover, and 500 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 600 hardcover, 1,500 softcover, and 1,500 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 plastic books to Los Angeles.

Required:
a. Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
b. Use matrix operations to determine the inventory in each store at the end of June.
Mathematics
1 answer:
victus00 [196]2 years ago
3 0

Answer:

Answer:

a. Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     4,200   7,200     12,000

Los Angeles       2,400    1,200      3,000

b) Ending Inventory: Matrix D:

                           Hard      Soft      Plastic

San Francisco      400     4,800     3,000

Los Angeles      1,600     7,800     3,000

Step-by-step explanation:

a) Data and Calculations:

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   3,000    6,000

Los Angeles         1,000   6,000    3,000

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       700     1,200     2,000

Los Angeles         400       200        500

Restocking: Matrix C

                          Hard    Soft       Plastic

San Francisco    600   1,500      1,500

Los Angeles      500     500        500

Total Sales over the first 6 months =

Matrix B * 6 = Matrix B6

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       700     1,200     2,000

Los Angeles         400       200        500

* 6

=

Sales from January to June: Matrix B6

                            Hard    Soft       Plastic

San Francisco     4,200   7,200     12,000

Los Angeles       2,400    1,200      3,000

Matrix C6 = Matrix C * 6

=

Restocking: Matrix C6

                          Hard     Soft       Plastic

San Francisco  3,600   9,000      9,000

Los Angeles    3,000   3,000      3,000

Inventory at the end of June =

Matrix A + Matrix C6 - Matrix B6

= Matrix D

Stock on January 1: Matrix A

                             Hard    Soft       Plastic

San Francisco       1,000   3,000    6,000

Los Angeles         1,000   6,000    3,000

+

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco  3,600   9,000      9,000

Los Angeles    3,000   3,000      3,000

-

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     4,200   7,200     12,000

Los Angeles       2,400    1,200      3,000

Ending Inventory: Matrix D:

                            Hard      Soft       Plastic

San Francisco      400     4,800     3,000

Los Angeles      1,600     7,800     3,000

You might be interested in
HELP!!!!! PLEASE!!!!!
emmainna [20.7K]

Answer:

4

Step-by-step explanation:

It's a pythagorean triple

8 0
2 years ago
Read 2 more answers
How do I find x?? It’s in french by the way.
DENIUS [597]

Answer:

The answer is 108

Step-by-step explanation:

The angle is obtuse and the only obtuse answer is 108.

5 0
3 years ago
Read 2 more answers
I have almost like an out suffering with this one.please!help!
makkiz [27]
120 Fluid ounces in liters is 3.549 liters, so the answer is definitely A.
7 0
3 years ago
Read 2 more answers
EMERGENCY QUESTION! No Decimal answers plz!
telo118 [61]

Answer:

1,145,375 cm³

Step-by-step explanation:

Like with an earlier question you had, there is a chunk missing. If that chunk was filled in, this would be a 205 * 70 * 85 rectangular prism.

205 * 70 * 85

17,425 * 70

1,219,750

The cut out chunk is a 25 * 70 * 85 triangular prism.

1/2 (25 * 70 * 85)

1/2(2,125 * 70)

1/2(148,750)

74,375

Now that we know what the cut-out chunk is, subtract that from the first value we got.

1,219,750 -74,375

1,145,375 cm³

The volume of the Canadian Post mailbox is 1,145,375 cm³.

8 0
2 years ago
Read 2 more answers
HELP!!<br> can someone lease help me with #11 and #12
Fiesta28 [93]

11. The two angles are vertical angles, which mean they are equal to each other.

14x - 5 = 13x

Add 5 to both sides:

14x = 13x + 5

Subtract 13x from both sides:

x = 5

12.  The two angles are supplementary and when added together need to equal 180 degrees.

5x -20 + 3x = 180

Combine like terms:

8x -20 = 180

Add 20 to both sides:

8x = 200

Divide both sides by 8:

x = 200 /8

x = 25

5 0
3 years ago
Other questions:
  • In One hour a bakery sold five muffins and nine bagels for a total of $25.50 the next hour the bakery sold three muffins and 12
    8·2 answers
  • A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
    14·1 answer
  • A dinosaur fossil is 93,550,000 years old. How can you express this age in scientific notation
    15·2 answers
  • Simplify fraction 1/2(-2x-24) using distributive property
    13·1 answer
  • If f(x)=2x Write g(x) (the equation) if g(x) is f(x) translated 2 units down and then reflected over the x-axis.
    6·1 answer
  • 6=-3(x+2) yea I need help combing ​
    15·2 answers
  • Solve for x in the triangle
    13·1 answer
  • 2 QUESTIONS
    10·1 answer
  • Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back so
    7·1 answer
  • The number of goals the Blue Jay hockey team scored in each game last year are: 3, 2, 1, 3, 0, 3, 1, 1, 2, 3, 3 What is the mode
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!