Provide an appropriate response.A company must fill an order for 200 units of its product. It wishes to distribute the production between its two plants, plant A and plant B. The total cost function isc = 300qA + 200qB + 
+ 8000, where qA and qB are the number of units produced at plant A and plant B, respectively. To minimize costs, plant A and plant B should produce
A. 50 units and 150 units, respectively.
B. 100 units and 100 units, respectively.
C. 175 units and 25 units, respectively.
D. 150 units and 50 units, respectively.
E. 25 units and 175 units, respectively.
Answer: D
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Find all the first order partial derivatives for the following function.f(x, y) = sin2 (8xy2 - y)
A. 
= 2sin (8xy2 - y) cos (8xy2 - y); 
= 2sin(8xy2 - y) cos(8xy2 - y)
B. 
= 16y2sin (8xy2 - y) cos (8xy2 - y); 
= 2sin (8xy2 - y) cos (8xy2 - y)
C. 
= 16y2sin (8xy2 - y) cos (8xy2 - y); 
= (32xy - 2) sin (8xy2 - y) cos (8xy2 - y)
D. 
= 2sin (8xy2 - y) cos (8xy2 - y); 
= (32x - 2) sin (8xy2 - y) cos (8xy2 - y)
Translate the sentence to an algebraic inequality.The cost is no more than $522.97.
A. x < 522.97 B. x ? 522.97 C. x ? 522.97 D. x > 522.97
Solve the problem.Sam and Chad are ticket-sellers at their class play. Sam is selling student tickets for $2.00 each, and Chad selling adult tickets for $5.50 each. If their total income for 24 tickets was $83.00, how many tickets did Sam sell?
A. 10 tickets B. 15 tickets C. 14 tickets D. 16 tickets
Provide an appropriate response.List the two requirements for a probability distribution. Discuss the relationship between the sum of the probabilities in a probability distribution and the total area represented by the bars in a probability histogram.
What will be an ideal response?