Solve the minimization problem by using the simplex method to solve the dual problem.A store makes two different types of smoothies by blending different fruit juices. Each bottle of Orange Daze smoothie contains 10 fluid ounces of orange juice, 4 fluid ounces of pineapple juice, and 2 fluid ounces of blueberry juice. Each bottle of Pineapple Blue smoothie contains 5 fluid ounces of orange juice, 6 fluid ounces of pineapple juice, and 4 fluid ounces of blueberry juice. The store has 500 fluid ounces of orange juice, 360 fluid ounces of pineapple juice, and 250 fluid ounces of blueberry juice available to put into its smoothies. The store makes a profit of $1.50 on each bottle of Orange Daze and $1 on each bottle of Pineapple Blue.What is the marginal value of orange juice? [Hint: use the
simplex method to determine the maximum profit and use the final tableau to determine the marginal value.]
A. 
B. 30
C. 
D. 0
Answer: C
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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at 
and 
. The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle 
to the semicircle 
.
A. 
B. 
C. 
D. 
Solve the equations.x2 + 343 = 0
A. ± 7i
B. ± 14i
C. ± i
D. ± 7
Find f1 in the circuit below when R1 = 1 Kê, R2 = 4 Kê, C1 = 0.1 æF, C2 = 700 pF, and E = 20 V.
a. 1 KHz
b. 318 H3
c. 4 KHz
d. 8 KHz
e. 16 KHz
Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?
A. 0.438 B. 0.487 C. 0.91 D. 0.856