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
Fiesta28 [93]
2 years ago
7

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 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 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 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles
Mathematics
1 answer:
shusha [124]2 years ago
8 0

Answer:

a. Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

b) Ending Inventory: Matrix D:

                            Hard      Soft      Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200

Step-by-step explanation:

a) Data and Calculations:

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   2,000    6,000

Los Angeles         1,000   6,000    2,000

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

Restocking: Matrix C

                           Hard    Soft       Plastic

San Francisco     500   1,400      1,400

Los Angeles       600      600       600

Total Sales over the first 6 months =

Matrix B * 6 = Matrix B6

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

* 6

=

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Matrix C6 = Matrix C * 6

=

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

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   2,000    6,000

Los Angeles         1,000   6,000    2,000

+

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

-

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Ending Inventory: Matrix D:

                             Hard      Soft       Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200

You might be interested in
What percent is equivalent to 18/30
FrozenT [24]

18 / 30 =

60 percent


4 0
3 years ago
Read 2 more answers
Logs are stacked 7 rows high. The top row has 15 logs, the second row has 18 logs, and the third row has 21 logs. This pattern c
EastWind [94]
The answer is 168 logs.

1st row:          15 logs
2nd row:        18 logs
3rd row:         21 logs
(so, each row has 3 more logs)
4th row:         24 logs
5th row:         27 logs
6th row:         30 logs
7th row:         33 logs

The sum of logs from each row is: 15 + 18 + 21 + 24 + 27 + 30 + 33 = 168 logs
4 0
3 years ago
Read 2 more answers
150 is 200% of what number?
ale4655 [162]
75 would be your answer because it is double and 75 is 100 percent
3 0
3 years ago
If you want 2 cookies and you only have.50 cents and the cookies cost 10 dollars how much money will you have to get if you only
scoray [572]

Answer:

The answer would be 15 cookies.

Step-by-step explanation:

Cookies = 24 cents each

Pop = 45 cents each

4 0
2 years ago
Read 2 more answers
Which expressions are equivalent?
trapecia [35]

Only 3(a−b) and 3a−3b are equivalent

Further explanation:

We have to evaluate each expression to evaluate if the expressions are equivalent or not.

So,

<u>For 3(a−b)</u>

3(a-b)\\Distributing\ 3\ in\ bracket\\3.a-3.b\\=3a-3b

As we can see that 3(a-b) results in 3a-3b so these are equivalent

<u>For 2a(2+b)</u>

2a(2+b)\\Distributing\ 2a\\2a.2+2a.b\\=4a+2ab

As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent

Hence,

Only 3(a−b) and 3a−3b are equivalent

Keywords: Equivalent expression, Polynomials

Learn more about polynomials at:

  • brainly.com/question/4824362
  • brainly.com/question/4847829

#LearnwithBrainly

3 0
3 years ago
Other questions:
  • Answer to this please with EXPLANATION! BIG POINTS!!!
    11·2 answers
  • Find the distance between the given points.
    5·1 answer
  • Jenny has five exam scores of 79,66, 71, 89, and 84 in her biology class. What score does she need on the final exam to have a m
    14·2 answers
  • 2.
    6·1 answer
  • Use the volume formula to find the volume of the prism
    12·2 answers
  • You have found a home that you are interested in purchasing. Instead of a conventional loan, you agree to pay the premium for th
    14·1 answer
  • An olive press produces 6 2/3 gallons of oil in 32 minutes. At this rate, how many gallons of olive oil will be produced in 1 ho
    7·1 answer
  • The blue dot is at what value on the number line? -10 -4
    6·1 answer
  • in a mixture of 48 litres the ratio of milk and water is 7:5. what is the quantity of milk in the mixture​
    7·1 answer
  • Giving brainliest 2 the first correct answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!