Use the simplex method to solve the linear programming problem.Maximizez = x1 + 2x2 + 4x3 + 6x4subject to:x1 + 2x2 + 3x3 + x4 ? 100 3x1 + x2 + 2x3 + x4 ? 75withx1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A. Maximum is 450 when x1 = 0, x2 = 0, x3 = 0, x4 = 75
B. Maximum is 150 when x1 = 0, x2 = 75, x3 = 0, x4 = 0
C. Maximum is 300 when x1 = 0, x2 = 0, x3 = 75, x4 = 0
D. Maximum is 600 when x1 = 0, x2 = 0, x3 = 0, x4 = 100
Answer: A
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Provide an appropriate response.The following equations each describe the motion of a particle. For which path is the particle's velocity vector always orthogonal to its acceleration vector?(1) r(t) = t6i + t6j(2) r(t) = cos (8t)i + sin (9t)j(3) r(t) = ti + t3j(4) r(t) = cos (-4t)i + sin (-4t)j
A. Path (4) B. Path (1) C. Path (3) D. Path (2) and Path (4)
Determine whether the growth (or decay) is linear or exponential, and answer the associated question.The value of your car is decreasing by 13% per year. If the car is worth $10,840 today, what will it be worth in two years?
A. Exponential; $9476.60 B. Linear; $12,249.20 C. Exponential; $8204.80 D. Linear; $13,658.40
Solve. Write the answer as a mixed number in simplest form.A rectangular flower bed in front of a building measures 4
feet by 3
feet. What is the total area of the flower bed? Hint: The area of a rectangle is the product of the length times the width.
A. 12
square feet
B. 17 square feet
C. 16 square feet
D. 15 square feet
Solve the problem.A cashier has a total of 120 bills, made up of fives and tens. The total value of the money is $870. How many ten-dollar bills does the cashier have?
A. 27 B. 66 C. 54 D. 81