A hardware store packages handy man bags of screws, bolts, nuts, and washers. Screws come
in 100-lb boxes and cost $110 each, bolts come in 1oo-lb boxes and cost $150 each, nuts come
in 80-lb boxes and cost $70 each, and washers come in 30-lb boxes and cost $20 each.The
handyman package weighs at least lib and must include, by weight, at least 10% screws and
25% bolts, and at most 15% nuts and 10% washers.To balance the package, the number of
bolts cannot exceed the number of nuts or the number of washers.A bolt weighs 10 times as
much as a nut and 50 times as much as a washer. Determine the optimal mix of the package.