Linear Programming Scenario 7 The Dutch Flower Bulb Company bags a variety of mixtures of bulbs. There are two customer favorites -
the Moonbeam mixture contains 30 daffodils and 50 jonquils, and the Sunshine mixture contains 60
daffodils and 20 jonquils. The company imports 300,000 daffodils and 260,000 jonquils for sale each year,
The profit on each bag of the Moonbeam mixture is $2.30. The profit on each bag of the Sunshine mixture is
$2.50. How many of the Moonbeam and Sunshine bags will maximize their profit?

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?