When planning his crops, farmer joe knows that his 5 acres can support corn and strawberries. he wants to make $5,500 from his crops. he can make $1,000 per acre of corn (the variable c) and $1,500 per acre of strawberries (the variable s). which equation below would be a constraint in his system of equations?

c + s = 5
c − s = 5
1,500c + 1,000s = 5,500
1,500s − 1,000c = 5,500

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?