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Answer:
$100
Step-by-step explanation:
We are given that
Company sells shirts=100-0.5x
Charge per shirt=x
We have to find the charge per shirt in order to make $5000 on shirt sales.
According to question
[tex]x(100-0.5x)=5000[/tex]
[tex]100x-0.5x^2=5000[/tex]
[tex]0.5x^2-100x+5000=0[/tex]
[tex]5x^2-1000x+50000=0[/tex]
[tex]x^2-200x+10000=0[/tex]
[tex]x^2-2\times x\times 100+(100)^2=0[/tex]
[tex](x-100)^2=0[/tex]
[tex]x=100,100[/tex]
Hence, charge per shirt=$100