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The total cost of manufacturing q 100 pencils is TC dollars where TC= 40+3q+q 2 /1000+1/q Pencils are sold for $7 per hundred. Show that

The total cost of manufacturing q 100 pencils is TC dollars where TC= 40+3q+q²/1000+1/q Pencils are sold for $7 per hundred. Show that the break-even quantity is the solution of the equation f(q)=q³/1000-4q²+40q+1=0

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Question

The total cost of manufacturing q 100 pencils is TC dollars where TC= 40+3q+q 2 /1000+1/q Pencils are sold for $7 per hundred. Show that