1.   Suppose a lumber mill can turn out up to 900 units of product each week. The mill must produce at least 100 units of lumber and 400 units of plywood. Write the constraints as a system of inequalities where x = the number of units of lumber and y = the number of units of plywood.
    A. x 100, y 400, and
x + y 900
    B. x 100, y 400, and
x + y 900
    C. x 100, y 400, and
x + y 900
    D. x 100, y 400, and
x + y 900
    Hint

  2.   If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let
x = units of lumber, and y = units of plywood.
    A.
    B.
    C.
    D.
    Hint

  3.   The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood.
    A. P(x, y) = 40x + 60y B. P(x, y) = 40x - 60y
    C. P(x, y) = 60x + 40y D. P(x, y) = 60x - 40y
    Hint

  4.   Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit.
    A. (300, 500) B. (500, 400)
    C. (100, 800) D. (100, 400)
    Hint

  5.   Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y x - 4
x 0
y 0
    A. infeasible B. 2
    C. unbounded D. alternate optimal solutions
    Hint



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