Answer: at least, 2931 board feet
Step-by-step explanation:
Let x represent the number of board-feet of lumber yards that is produced and sold in a day
The lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. It means that the cost of producing x board-feet of lumber yards is
0.91x + 3810.3
Lumber sells for $2.21 per board-foot. It meas that the revenue from selling x board feet of lumber yard is 2.21x.
Profit = Revenue - total cost
In order to make profit, Revenue must be greater than total cost. Therefore,
2.21x ≥ 0.91x + 3810.3
2.21x - 0.91x ≥ 3810.3
1.3x ≥ 3810.3
x ≥ 3810.3/1.3
x ≥ 2931
The number of board-feet of lumber yard that must be sold to make profit is at least 2931
<h3>The answer is :-</h3>
188,888,000
<h3>Explanation :- </h3>
We have to multiply 188,888 by 1000
so just add the zeros after 188,888
The limits to the given function are as follows:
1. ∞
2. -∞
3. ∞
4. 1
5. -∞
<h3>What is a limit?</h3>
A limit is given by the <u>value of function f(x) as x tends to a value</u>.
For this problem, at x = 0, we have that to the left the function goes to positive infinity, while to the right it goes to negative infinity, hence:
1. lim f(x) = ∞
x->0-
2. lim f(x) = -∞
x->0+
At x = 2, the function goes to infinity to the left and to the right, hence:
3. lim f(x) = ∞
x->2
To the left of the graph, the function goes to negative infinity, while to the right it goes to 1, hence:
4. lim f(x) = 1
x-> ∞
5. lim f(x) = -∞
x-> -∞
More can be learned about limits of functions at brainly.com/question/26270080
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<span>(3x2 + 1) • (4x - 3) is the answer</span>
