in a GIVEN DAY THE MILL TURNS OUT THREE TIMES AS MANY UNITS OF PLYWOOD. IT PROFITS OF $25 ON A UNIT OF LUMBER AND $40 ON A UNIT OF PLYWOOD. HOW MANY OF EACH M UST SELL TO MAKE PROFIT OF $14720 can anyone help im so confused
read your first sentence, it is incomplete and makes no sense.
Please re-type your question, and please don't use all-caps.
a normal working day the mill makes 3 times as many units of plywood as they do lumber.profit of lumber is $25 profit of plywood is $40 how many of each must be sold to obtain a profit of $14790
let the number of lumber units be x
then the number of plywood units is 3x
then 25x + 40(3x) = 14790
solve for x
so... i just pick any number
no, you solve the equation
( why would you think to just pick any number ??)
25x + 40(3x) = 14790
25x + 120x = 14790
145x = 14790
divide by 145
x = 102
so they should make 102 units of lumber
and 3(102) or 306 units of plywood.
check 102(25) + 306(40) = 14790
Of course! I can help you break down the problem. Let's solve it step by step.
Let's assume the number of units of lumber the mill produces in a given day is "x". Since the mill turns out three times as many units of plywood, the number of units of plywood it produces will be 3x.
Now, let's calculate the profit made from selling lumber and plywood:
Profit from selling lumber = Number of units of lumber * Profit per unit of lumber = x * $25
Profit from selling plywood = Number of units of plywood * Profit per unit of plywood = 3x * $40
To find the total profit, we need to add the profit from selling lumber and the profit from selling plywood:
Total Profit = Profit from selling lumber + Profit from selling plywood
We know that the total profit should be $14,720. So, we can write the equation:
$14,720 = (x * $25) + (3x * $40)
Now, let's simplify this equation and solve for x:
$14,720 = 25x + 120x
Combine like terms:
$14,720 = 145x
Divide both sides by 145:
x = $14,720 / 145
x ≈ 101.448
Since we can't have a fraction of a unit, we need to round up to the nearest whole number. Therefore, the mill should produce around 102 units of lumber.
To find the number of units of plywood, multiply x by 3:
Number of units of plywood = 3 * x ≈ 3 * 102 ≈ 306
To make a profit of $14,720, the mill must sell approximately 102 units of lumber and 306 units of plywood.
Remember that the actual number of units may vary slightly depending on rounding and other factors.