Question 1126436
c = 2000 + 6x.


r = 8x.


x represents the number of units produced and sold.
c represents the total cost of production.
r represents the revenue.


p = r - c


p represents the total profit.


replace r with 8x and c with 2000 + 6x and the profit formula becomes:


p = 8x - (2000 + 6x)


simplify to get p = 8x - 6x - 2000


combine like terms to get p = 2x - 2000


replace p with 12000 to get 12000 = 2x - 2000


add 2000 to both sides of the equation to get 14000 = 2x


solve for x to get x = 14000 / 2 = 7000.


he would have to produce and sell 7000 units to make a profit of 12000 rials.


when x = 7000, .....


c = 2000 + 6 * 7000 = 44000 rials.


r = 8 * 7000 = 56000 rials.


p = r - c = 56000 - 44000 = 12000 rials.


your solution is that 7000 units must be produced and sold to make a profit of 12000 rials.