Question

Brand Z's annual sales are affected by the sales of related products X and Y as follows: Each $1 million increase in sales of brand X causes a $2.5 million decline in sales of brand Z, whereas each $1 million increase in sales of brand Y results in an increase of $0.4 million in sales of brand Z. Currently, brands X, Y, and Z are each selling $6 million per year. Model the sales of brand Z using a linear function. (Let z = annual sales of Z (in millions of dollars), x = annual sales of X (in millions of dollars), and y = annual sales of Y (in millions of dollars).)

Answer 1

Answer:

Explanation:

The linear equation is shown below:

We take the help of partial derivatives that means if the X is changes then also changes the Z

The normal linear equation is

Z = ax + by + c

where,

a = -$2.5

b = $0.4

Z = -2.5x + 0.4y + c.

And,

X = Y = Z = 6

Now put the values so, it would be

(Z - 6) = -2.5 × (x -6) + 0.4 × (y-6)