Answer:
To find the number of boards that must be sold to break even, we need to set the revenue equal to the cost and solve for x.
Given:
Revenue R = 40x
Cost C = 30x + 1000
Since the break-even point is when revenue equals cost, we have the equation:
40x = 30x + 1000
To solve for x, we subtract 30x from both sides of the equation:
40x - 30x = 30x + 1000 - 30x
Simplifying:
10x = 1000
Dividing both sides by 10:
x = 100
Therefore, to break even, 100 computer boards must be sold.
To find the amount of money needed to produce the break-even number of boards, we substitute the value of x into the cost equation:
C = 30x + 1000
C = 30 * 100 + 1000
C = 3000 + 1000
C = 4000
Therefore, $4000 is needed to produce the break-even number of boards.
Explanation: