Problema Solution
smookers lumber can convert logs into either lumber or plywood. in a given day, the mill turns out three times as many units of plywood as lumber. it makes a profit of $20 on a unit of lumber and $45 on a unit of plywood. how many of each unit must be produced and sold in order to make a profit of $15655?
Answer provided by our tutors
L = Lumber, P = Plywood logs
P = 3L
20L + 45P = 11330
or 20L + 135L = 155L = 11330, or L = 11330/155 = 73.1 or just 73
P = 3L = 219.
To verify, 20*73 + 45*219 = 11315, which reflects a rounding error of about $15.00.