Aprinting company orders paper from two different suppliers. supplier x charges $25 per case. supplier y charges $20 per case. the company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from supplier x. the company needs no more than 2 times as many cases from supplier y as from supplier x. let x = the number of cases from supplier x and y = the number of cases from supplier y.

complete the constraints on the system.

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?