Provide an appropriate response.A firm has an order of 10,000 units of its product and has two plants at which to manufacture these units. Let q1 be the number of units to be produced at the first plant and q2 denote the number to be manufactured at the second plant. It is known that the cost function is given byC = 48
+ 3
+ 25,000. Use the method of Lagrange multipliers to determine how many units should be produced at each plant to minimize this cost function.
What will be an ideal response?
q1 = 2000; q2 = 8000
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Find dy/dt.y = cos4(?t - 11)
A. 4 cos3(?t - 11) B. -4? sin3(?t - 11) C. -4 cos3(?t - 11) sin(?t - 11) D. -4? cos3(?t - 11) sin(?t - 11)
Find the eigenvalues and the corresponding eigenvectors 
What will be an ideal response?
A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: 
What is the maximum profit if the profit margin on A changes to $7.00?
A. $225,000 B. $266,000 C. $105,000 D. $98,000
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.? = 
A. 
y = - 
x; line through the pole making
an angle of 
with the polar axis
B. 
y = 
x; line through the pole making
an angle of 
with the polar axis
C. 
y = - 
; horizontal line 
units
below the pole
D. 
2 + y2 = 
; circle, radius 
,
center at 
in rectangular coordinates