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Consider that the break-even quantity is the one corresponding to which the profit is zero i.e. the production cost becomes equal to the revenue earned.

Equate the functions and solve for the break-even quantity as follows,

[tex]\begin{gathered} C(x)=R(x) \\ 560x+17,080=700x \\ 700x-560x=17,080 \\ 140x=17,080 \\ x=122 \end{gathered}[/tex]Thus, **the break-even quantity is 122 units**.