Math Snap

STEP 1

Assumptions1. The total cost function is given by $C(x) =0.75x +3500$.
. The variable $x$ represents the number of boxes of detergent produced.
3. The cost function is linear, which means it has the form $y = mx + b$, where $m$ is the slope (variable cost per unit) and $b$ is the y-intercept (fixed cost).

STEP 2

The fixed cost of the function is represented by the y-intercept in the linear equation. In the equation $C(x) =0.75x +3500$, the y-intercept is3500.

STEP 3

Therefore, the fixed cost of the function is $3500. This corresponds to choice A in the given options.

STEP 4

The cost for each box of detergent that Super Suds produces is represented by the slope in the linear equation. In the equation $C(x) =0.75x +3500$, the slope is0.75.

Therefore, the cost for each box of detergent that Super Suds produces is $0.75. This corresponds to choice B in the given options.
So, the fixed cost of the function is $3500 (Choice A)$ and the cost for each box of detergent that Super Suds produces is $0.75 (Choice B)$.