In the equation for P x the profit in dollars is represented by P and the number of items produced and sold is represented by x Therefore to find the profit when 343 items are sold we substitute 343 for in the equation P x 300x 3 900 Find P 345 items Step 4 P x 300x3 900 P 343 300 343 99000 343 3 900 99 000 Fantastic job That is if 343 items are produced and sold the total profit is 99000 c How many items must be sold to avoid losing money F The manufacturer makes money if the profit is positive profit is 0 99 000 Great work and loses money if the profit is positive We can find the break even quantity by solving the equation P x O When the manufacturer breaks even the So to avoid losing money the manufacturer must produce and sell the break even quantity which is the number of items that results in a profit equal to 0