Answer:42 units
Explanation:
Given
Price-production relationship=-0.7D+300
Total cost=Fixed cost+ variable cost
Total cost=10,287+25D
where D is the units produced
Total revenue[tex]=\left ( -0.7D+300\right )D[/tex]
Total revenue[tex]=-0.7D^2+300D[/tex]
For Break even point
Total revenue=Total cost
[tex]10,287+25D=-0.7D^2+300D[/tex]
[tex]7D^2-2750D+102870=0[/tex]
[tex]D=\frac{2750\pm \sqrt{2750^2-4\times 7\times 102870}}{2\times 7}[/tex]
[tex]D=41.869\approx 42[/tex] units
