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Ber [7]
3 years ago
5

The produce manager at a market orders 10 lb of​ tomatoes, 20 lb of​ zucchini, and 40 lb of onions from a local farmer one week.

​
A) Write a 1times3 matrix A that represents the amount of each item ordered. ​
B) The following​ week, the produce manager increases his order by​ 10%. Find a matrix B that represents this order.
​C) Find AplusB and tell what the entries represent.
Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:

(A) A=\left[\begin{array}{ccc}10&20&40\end{array}\right]

(B) B=\left[\begin{array}{ccc}11&22&44\end{array}\right]

(C) A+B=\left[\begin{array}{ccc}21&42&84\end{array}\right]

Step-by-step explanation:

The manager ordered 10 lb of​ tomatoes, 20 lb of​ zucchini, and 40 lb of onions from a local farmer one week.

(A)

Matrix <em>A</em> represents the amount of each item ordered. ​It is 1 × 3 matrix.

Then matrix <em>A</em> is:

A=\left[\begin{array}{ccc}10&20&40\end{array}\right]

(B)

Next week the manager increases the order of all the products by 10%.

Then the amount of new orders are:

Tomatoes =10\times [1+\frac{10}{100}]=10\times1.10=11

Zucchini =20\times [1+\frac{10}{100}]=20\times1.10=22

Onions =40\times [1+\frac{10}{100}]=40\times1.10=44

Th matrix <em>B</em> represents the amount of each order for the next week. Then matrix <em>B</em> is:

B=\left[\begin{array}{ccc}11&22&44\end{array}\right]

(C)

Add the two matrix <em>A</em> and <em>B</em> as follows:

A+B=\left[\begin{array}{ccc}10&20&40\end{array}\right]+\left[\begin{array}{ccc}11&22&44\end{array}\right]\\=\left[\begin{array}{ccc}(10+11)&(20+22)&(40+44)\end{array}\right]\\=\left[\begin{array}{ccc}21&42&84\end{array}\right]

The entries of the matrix (<em>A</em> + <em>B</em>) represent the amount of tomatoes, zucchini and onions ordered for two weeks.

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