A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each
bottle of cappuccino requires 6 ounces of coffee
and 2 ounces of milk and earns a profit of $0.40.
Each bottle of café au lait requires 4 ounces of
coffee and 4 ounces of milk and earns a profit of
$0.50. The manufacturer has 720 ounces of coffee
and 400 ounces of milk available for production
each day. To meet demand, the manufacturer
must produce
at least 80 coffee drinks each day.
Let x = the number of cappuccino bottles and y=
the number of café au lait bottles.

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?