snookers lumber can convert logs into either lumber or plywood. In a given day, the mills turns twice as many units of plywood as lumber. in a given day the mill turns twice as many units of plywood as lumber. it makes a profit of $25 on a unit of lumber and $40 on a unit of plywood. how many of each unit must be produced and sold in order to make a profit of $10605

Question

snookers lumber can convert logs into either lumber or plywood. In a given day, the mills turns twice as many units of plywood as lumber. in a given day the mill turns twice as many units of plywood as lumber. it makes a profit of $25 on a unit of lumber and $40 on a unit of plywood. how many of each unit must be produced and sold in order to make a profit of $10605

Answer 1

units of lumber - x

units of plywood - 2x

25x + 40(2x) = 10605

solve this simple equation.

Answer 2

To find out how many units of lumber and plywood must be produced and sold in order to make a profit of $10605, we can set up a system of equations.

Let's assume the number of units of lumber produced and sold in a day is represented by 'x'. Since the mill turns twice as many units of plywood as lumber, the number of units of plywood produced and sold in a day would be '2x'.

Given that the profit on a unit of lumber is $25 and on a unit of plywood is $40, we can write the following equations:

Profit from lumber: 25x
Profit from plywood: 40(2x) = 80x

The sum of the profits from both types of products should be equal to $10605:

25x + 80x = 10605

Combining like terms:

105x = 10605

Now, we can solve for 'x' by dividing both sides of the equation by 105:

x = 10605/105
x = 101

Therefore, to make a profit of $10605, 101 units of lumber and 2x (2 * 101 = 202) units of plywood must be produced and sold.