Let
x------> the number of men’s shirts
y-----> the number of women’s shirts
we know that
----> constraint A
----> constraint B
----> constraint C
----> constraint D
using a graphing tool
see the attached figure N
The solution is the shaded area
Remember that
if an ordered pair meets all restrictions and makes sense in the context of the situation, then the ordered pair is a system solution
we're going to proceed to verify each pair ordered
<u>case A)</u>
Substitute the value of x and y in each constraint
Verify constraint A
-------> is true
Verify constraint B
-------> is true
Verify constraint C
------> is true
Verify constraint D
-----> is true
therefore
the ordered pair is a system solution
<u>case B)</u>
Substitute the value of x and y in each constraint
Verify constraint A
-------> is true
Verify constraint B
-------> is true
Verify constraint C
------> is true
Verify constraint D
-----> is not true
therefore
the ordered pair is not a system solution
<u>case C)</u>
Substitute the value of x and y in each constraint
Verify constraint A
-------> is true
Verify constraint B
-------> is not true
Verify constraint C
------> is true
Verify constraint D
-----> is true
therefore
the ordered pair is not a system solution
<u>case D)</u>
Substitute the value of x and y in each constraint
Verify constraint A
-------> is true
Verify constraint B
-------> is true
Verify constraint C
------> is true
Verify constraint D
-----> is true
therefore
the ordered pair is a system solution
<u>case E)</u>
Substitute the value of x and y in each constraint
Verify constraint A
-------> is true
Verify constraint B
-------> is true
Verify constraint C
------> is true
Verify constraint D
-----> is true
therefore
the ordered pair is a system solution
therefore
<u>the answer is</u>
see the attached figure N to better understand the solution