(5y + 2) + 14x = 5y + (2 + 14x)
2 answers:
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Answer:
Maximum number of long sleeved shirt that can be purchase is, 8
and
Minimum number of long sleeved shirt that can be purchased is, 0
Step-by-step explanation:
let y represents the number of short sleeves and x represents the number of long sleeves.
As per the given condition:
Members of a school club are buying matching shirts. They know at least 25 members will get a shirt.
we have;
or
....[1]
Since, long sleeves shirt are $ 10 each and short sleeves shirt are $ 5 each.
then;
Total cost of long sleeves is 10x and
the total cost of short sleeves is 5y
Also; the club can spend no more than $ 165
then;
or
......[2]
Solving the inequality equation with the graph :
Plot equation [1] and [2]; we get the maximum at point (8 , 17)
so, x= 8.
If we take minimum value of x =0 then y is between 25 and 33.
so, the solution area is between the lines to the left of where the lines intersect.
Therefore, the maximum number of long sleeved shirts can be purchased is 8 and the minimum number of long sleeved shirt can be purchased is 0
