Question

Jackets and sweaters are seasonal items. As spring approaches, demand decreases. Create and solve a matrix product for keeping jeans and shirt quantities the same, but reducing jackets and sweaters by 80%.

Answer 1

To reduce jackets and sweaters by 80% while keeping jeans and shirt quantities the same, you can use matrix multiplication.

And, the matrix is:

[1 0][x] [0.2x]

[0 1][x] = [ x ]

Step-by-step explanation:

To solve the problem, let's assume that the original quantity of jackets and sweaters is 'x', and the quantity of jeans and shirts remains the same.

Since we want to reduce jackets and sweaters by 80%, we can multiply 'x' by 0.2 to get the new quantity of jackets and sweaters.

Therefore, the matrix product can be represented as:

[1 0][x] [0.2x]

[0 1][x] = [ x ]

By multiplying the matrices, we get:

[1 0][x] [0.2x]

[0 1][x] = [ x ]

The new quantity of jackets and sweaters is 0.2x, while the quantity of jeans and shirts remains x.