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

Answers

Answer 1

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


Related Questions

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.​

Answers

Answer:

its c

Step-by-step explanation:

i did the test

The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.

What is an expression?

In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.

In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.

The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.

The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.

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Answer:

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Step-by-step explanation:

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si hay 3/4 de nieve de chocolate y vainilla el resto y el resto de es de fresa qué fracción total de la nieve es de fresa?​

Answers

La fraccio total de nieve de fresa es de ¼.

Select the number(s) that make the inequality true,
Select all that apply.
m > 0
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Answers

Answer:

A and E

Step-by-step explanation:

what slope equation is parallel to y=5x-10

Answers

Answer:

y = 5x + (anything except negative 10)

For example:

y = 5x + 5

Step-by-step explanation:

A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't - 10, your answer will be parallel.

quater of 80? its for my maths, thanks xx

Answers

80/4 = 20


explanation

20*4= 80


hope i helped!
A Quarter = 1/4


Quarter of 80:
= 80 x 1/4

= 80/4

= 20

The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?

Answers

Answer:

6

Step-by-step explanation:

W=L-2

A=L*W

48=L(L-2)

48=L^2-2L

You factor and then you get L=8

W=8-2=6

A number b is at least - 3.

Answers

Answer:

-3 ≥ b is your inequality

Step-by-step explanation:

b >/= -3

If you are graphing it on a number line, the circle over -3 is filled in, and the arrow goes to the right

3

The teacher estimated that she would have 68 students this school year. She actually had 74.

What is the percent error?

A 2.08%

B

6%

8.11%

D 191.89%

Answers

Answer:

c

Step-by-step explanation:

Select the rule for the sequence The rule for the sequence is? Find the unknown term. The unknown term is​

Answers

U would subtract to find the unknown term

Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the strips together to make a rectangle. Then Len divides the rectangle into sixths so that each sixth is one color. What fraction other than 1/3 names the part of the rectangle that is red?

Answers

Answer:

2/6

Step-by-step explanation:

Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.

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The answer, please ASAP

Answers

Answer:

Step-by-step explanation:

que tu hablas español¿

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Answers


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Answers

I don’t get this explain it better

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-1 - 8a²b?

Answers

Answer:

2 terms

Step-by-step explanation:

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Part A



Graph the relationship, where x is the time in seconds and y is the number of words typed.

Answers

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Answers

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100POINTS! EXPLAIN YOUR ANSWER OR I REPORT

Answers

Answer:

linear pair61°

Step-by-step explanation:

to understand thisyou need to know about:vertical angleequationPEMDAStips and formulas:A linear pair is two angles that are adjacent and whose non-common sides form a straight linelinear pair contains 180°given:[tex]m\angle 1 [/tex]let's solve:

[tex]\text{m$\angle$ 2 is linear pair with$\angle$ 1}[/tex]

[tex] \text{according \: to \: the \: question}[/tex]

[tex] \sf 119 + m\angle 2 = 180 \\ \sf m \angle 2 = 180 - 119 \\ \sf m \angle2= 61[/tex]

Answer:

Linear pair

61°

Step-by-step explanation:

Let's verify

See 1 and 2 angles lie in one lineSo they are supplementary and linear pair

m<2

180-11961°

Is the graph increasing, decreasing, or constant?
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Answers

Answer:

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Step-by-step explanation:

..

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Answers

Answer:

6:5

Step-by-step explanation:

Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.

The ratio between x and y, when 5x = 6y, is 6:5.

Given is an equation 5x = 6y, we need to find the ratio between x and y,

To determine the ratio of x to y in the equation 5x = 6y, we need to isolate one of the variables and express it in terms of the other.

Let's isolate x:

5x = 6y

Divide both sides of the equation by 5:

x = (6y) / 5

Now we have an expression for x in terms of y. The ratio of x to y can be represented as:

x/y = (6y) / (5y)

The y terms cancel out:

x/y = 6/5

Therefore, the ratio of x to y is 6:5.

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Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)?

Answers

Two lines [tex]y_1,y_2[/tex] are perpendicular if their slopes are in a relation [tex]m_1=-\frac{1}{m_2}[/tex].

So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.

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[tex]m_2=\frac{-1-(-5)}{5-1}=\frac{4}{4}=1[/tex]

Now check if [tex]m_1=-\frac{1}{m_2}[/tex] is true

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This means the two lines are perpendicular.

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1. In order to save for her high school graduation, Kathrina decided to save ₱200 at the end of every other month, starting the end of the second month. If the bank pays 0.250% compounded monthly, how much will be her money at the end of 5 years? (use j = 0.000417, n = 30)

2. Emma availed of a cash loan that gave her an option to pay ₱10,000 monthly for 1 year. The first payment is due after 6 months. How much is the present value of the loan if the interest rate is 12% converted monthly?

Answers

Answer:

1) 202.52

2) P107089

Step-by-step explanation:

Compound interest is calculated as

A = P (1 + r/n)^(nt), where

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P = present value

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t = time taken

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A = 202.52

Present Value Annuity Due is usually given by the formula

P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where

P is the present value

C is the Cash flow per period

i is the interest rate and

n is the number of payments

P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)

P = 113676

Also, it's worthy of note that

Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100

EAR = ((1+12/(12*100))^12-1)*100

EAR = 12.68%

And lastly, the

Future value = present value*(1+ rate)^time

113676 = Present value*(1+0.1268)^0.5

Present Value = 113676 / 1.1268^0.5

Present Value = 113676 / 1.0615

Present value = 107089

What is the decay factor that corresponds to a 99% decrease?

Answers

The answer for this is 0.00578.

Answer:

It's D. 0.01

Step-by-step explanation:

Took the test

63 Avec un octogone
e
E
Dans la figure ci-dessous, ABCD est un carré de côté
12 cm et les segments de même longueur sont codés.
А
В 8.
DN M C
1. Justifier que les triangles API, JBK, ODN et MCL sont
des triangles égaux.
2. Calculer JK puis dire si l'octogone est un
octogone régulier
3. Calculer l'aire Un octogone regulier
de l'octogone
est un polygone à 8 côtés
IJKLMNOP
dont tous les côtés sont
de même longueur.
4.Les diagonales
du carré ABCD se coupent en S.
Construire la figure en vraie grandeur et tracer le
cercle de centre S et de diamètre 12 cm.
5.Le disque de centre S et de diamètre 12 cm a-t-il
une aire supérieure à l'aire de l'octogone? Justifier
la réponse.
D'après DNB Métropole, 2010
Prisen​

Answers

Answer:

sorry

Step-by-step explanation:

I don't know ........

A=6
B=8
The measure of c is

Answers

Answer:

10

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

a^2 + b^2 = c^2

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36 + 64 = c^2

100 = c^2

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Answers

So you need to decide if you are using cos,sin or tan

You use soh cah toa for this

You label the sides

Hypotenuse - which is the side opposite the right angle

Opposite- which is the side opposite the angle given

Adjacent - the left over side

In this case the opposite doesn’t have any values so we are going to cross it out

We are using CAH

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Cos(73)x6 = 1.754230228

The answer is 1.8 to 1 decimal place

Answer:

A right angle is 90 degree

Step-by-step explanation:

73 -90 degrees is 17 degrees. A right angle, shown is at 90 degrees

To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.
132 students ate breakfast.
183 students ate lunch.
273 students ate dinner.
69 students ate breakfast and lunch.
113 students ate breakfast and dinner.
95 students ate lunch and dinner.
55 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students

(b) Exactly one meal in the cafeteria?
students

(c) Only dinner in the cafeteria?
students

(d) Exactly two meals in the cafeteria?
students

Answers

Answer:

920 Students

Step-by-step explanation:

Add all of the meals together

Please dont judge me if i get this wrong this is why i joined brainly i don´t know nothing

True or False: Since negative numbers are just numbers, then doing the same thing to each side of an equation works for negative numbers as well.

Answers

Answer:

I believe it's true

Step-by-step explanation:

I hope this helps

Quik Call charges 18¢ per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges $7.90 per hour of phone usage, dividing this charge into 15-minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with the lower price, how much will these calls cost?

Answers

Answer:

158? I am not really sure because I am in fifth grade, but I think it may be correct.

Solve:

Three less than the product of eight thirds and nine.

Pls HELP ME

Answers

Answer:

21

Step-by-step explanation:

Product of eight thirds and nine:

8/3×9 = 24

Three less than the product of eight thirds and nine:

24 - 3 = 21
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