I am tring to work these out and i have been in this for hours it is not clicking thanks for all the help. the question is:
Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $25 on a unit of lumber and $45 on a unit of ply. How many fo each unit must be produced and sold in order to make a profiat of $11,730?
Snookers Lumber must produce and sell_____units of lumber and ______ units of plywood to make a profit of $11,730
This is so much like your last question that you should be able to do it.
To solve this problem, let's use algebraic equations.
Let's assume that Snookers Lumber produces x units of lumber. Since the mill produces twice as many units of plywood, the number of units of plywood produced would be 2x.
The profit made on a unit of lumber is $25, so the total profit made from selling x units of lumber would be 25x dollars.
Similarly, the profit made on a unit of plywood is $45, so the total profit made from selling 2x units of plywood would be 45(2x) dollars, which can be simplified to 90x dollars.
To find the total profit, we need to sum up the profit from selling lumber and plywood:
Total Profit = Profit from selling lumber + Profit from selling plywood
Total Profit = 25x + 90x
Since we know the total profit we want to achieve is $11,730, we can set up the equation:
11,730 = 25x + 90x
Combining like terms, we have:
11,730 = 115x
Now, we can solve for x by dividing both sides of the equation by 115:
x = 11,730 / 115
Using a calculator to divide, we get:
x ≈ 101.91
Since we cannot have fractional units, we need to round x to a whole number. In this case, rounding up would make more sense since producing one extra unit of lumber would cost less than producing one unit of plywood.
Therefore, Snookers Lumber needs to produce and sell approximately 102 units of lumber (x) and 2 times that amount, or approximately 204 units of plywood (2x), in order to make a profit of $11,730.