Use an inequality to solve the problem. The equation y=0.04x-0.40 can be used to determine the approximate profit,y, in dollars, of producing x items. How many items must be produced so the profit will be at least $1402?
Solve
0.04x - 0.40 >or= 1402
0.04x >or= 1402.4
x >or= 3506
The = sign answer, 3506, will produce the required profit. Only integers are allowed for x
To find the number of items that must be produced so that the profit is at least $1402, we can set up an inequality using the given equation.
The equation y = 0.04x - 0.40 represents the profit, y, in dollars, for producing x items.
We want to find the minimum number of items that will result in a profit of at least $1402. This means we need to find the minimum value of x that satisfies the inequality.
Let's set up the inequality:
0.04x - 0.40 ≥ 1402
To isolate x, we'll add 0.40 to both sides of the inequality:
0.04x ≥ 1402 + 0.40
0.04x ≥ 1402.40
Now, divide both sides of the inequality by 0.04 to solve for x:
x ≥ 1402.40 / 0.04
x ≥ 35060
Therefore, at least 35,060 items must be produced in order to have a profit of at least $1402.