The owner of a quick oil-change business charges $20 per oil change and has 40 customers per day. if each increase of $2 results in 2 fewer daily customers, what price should the owner charge (to the nearest 2) for an oil change if the income from this business is to be as great as possible?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?