Simon owns a small car wash and detailing center. He charges $12 per wash. He pays each of his two employees $12 per hour. The employees each work 40 hours per week. Simon's other costs amount to $450 per week. Simon wants to earn an average profit of at least $3.25 per wash each week. How many car washes could the staff give in a week so that Simon will earn an average of at least $3.25 over wash?

Question

Simon owns a small car wash and detailing center.  He charges $12 per wash.  He pays each of his two employees $12 per hour.  The employees each work 40 hours per week.  Simon's other costs amount to $450 per week.  Simon wants to earn an average profit of at least $3.25 per wash each week.  How many car washes could the staff give in a week so that Simon will earn an average of at least $3.25 over wash?

Henry · Answer

Income/wk. = $12/wash * XWASHES = $12X. Cost/wk. = ($12/h*40h)2 + $450/wk. = $1410. Profit/wk. = 12x - 1410 = $3.25/wash * xwashes. = $3.25x. Profit/wk. = 12x - 1410 = 3.25x, X = 161.14 or 162 Washes.