Snookers Lumber can convert logs intoeither lumber or plywood. In a given day, the mill turns three times as many units of plywoos as lumber It makes a profit of $25 on a unit of lumber and $40 on a unit of plywood. How much of each unit must be produced and sold in order to make a profit of $15080?

let x be the number of units of lumber.

let 3x be the number of units of plywood (because it turns three times as many units of plywood as lumber)

Multiply the variables by the profits and set it equal to the total profit

3x*40+x*25=15080
120x+25x=15080
145x=15080

x=104

To find how much of each unit:
104 lumber (because x is the number of lumber)
3*104 plywood (because 3x is the number of plywood) = 312

To solve this problem, let's assume that the mill produces and sells 'x' units of lumber.

According to the given information, the mill turns three times as many units of plywood as lumber. This means it produces and sells 3x units of plywood.

Now, let's calculate the profit from selling 'x' units of lumber. The profit per unit of lumber is $25. Therefore, the profit from selling 'x' units of lumber is 25x.

Similarly, the profit from selling 3x units of plywood can be calculated. The profit per unit of plywood is $40, so the profit from selling 3x units of plywood is 40 * 3x = 120x.

To make a profit of $15080, the total profit from selling both lumber and plywood must equal $15080. So, we can write the equation:

25x + 120x = 15080

Combine like terms:
145x = 15080

Divide both sides by 145:
x = 15080 / 145
x ≈ 104

Therefore, the mill needs to produce and sell approximately 104 units of lumber to make a $15080 profit.

To find the number of units of plywood, we can multiply this by 3:
3x ≈ 3 * 104
3x ≈ 312

So, the mill needs to produce and sell approximately 312 units of plywood to make a $15080 profit.

In summary, Snookers Lumber needs to produce and sell approximately 104 units of lumber and 312 units of plywood to make a profit of $15080.