Cost of production of each unit of electricity is 3 less than twice the total number of units produced. If the total cost of production is 20, find the number of units of electricity produced?
Total cost of production = x(2x-3)
x(2x-3) = 20
2x2 – 3x – 20 = 0
2x2 - 8x + 5x – 20 = 0
2x(x-4) + 5(x-4) = 0
(2x+5)(x-4) = 0
x= -2.5 or x=4
As number of electricity units cannot be negative,
No. of electricity units produced = 4