You didn't give the multiple choice so no one can help you do make sure to include that next time
Suppose f(x) is an even function. The range of g(x) = -3f(2x) is [-9, 3].
Suppose f(x) is an odd function. What is the range of 0.5f(x-3) is [-1.5, 0.5]
See picture for answer and solution steps.
For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:

It is also known that 25 hours per week are available for sewing, that is:

It has a system of two equations with two unknowns, solving we have:

Multiplying the second equation by -1:

Adding up:

Substituting x in the first equation:

Clearing and:


Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits