Populations of two species are modeled by the equations dæ dy 0.12y – 0.024.xy 0.2x – 0.004ry . dt dt Answer the following: (a) Describe how the species interact with one another. For example, do they compete for the same resources, do they cooperate for mutual benefit, or do they have a predator-prey relationship? (b) Find the equilibrium solutions and explain their significance.

2- 10 10 -4 -2- -6- -8- -10- 9. The production supervisor at a particular office products company finds that it takes 3 hours to manufacture a particular office chair and 9 hours to manufacture a computer desk. A total of 2700 hc is available to produce office chairs and desks of this style. The linear equation that models this situa is 3x + 9y = 2700, where x represents the number of chairs produced and y the number of desks manufactured. a. Complete the ordered pair solution (0, ) of this equation. b. Describe the manufacturing situation that corresponds to this solution. It describes manufacturing chairs and computer desks.

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Formulate a system of equations for the situation below and solve.A manufacturer of women's blouses makes three types of blouses: sleeveless, short-sleeve, and long-sleeve. The time (in minutes) required by each department to produce a dozen blouses of each type is shown in the following table.   Sleeveless Short-Sleeve Long-Sleeve Cutting   9 12 15 Sewing 22 24 28 Packaging   6   8   8 The cutting, sewing, and packaging departments have available a maximum of 87, 176, and 52 labor-hours, respectively, per day. How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity? sleeveless      ___ dozen short-sleeve      ___ dozen long-sleeve       ___dozen