Provide an appropriate response.A company manufactures two products, X and Y, and the joint-cost function for these products is given by 
where c is the total cost of producing x units of X and y units of Y. Determine the marginal cost with respect to x when x = 450 and y = 550.
Fill in the blank(s) with the appropriate word(s).
Answer: 5
Mathematics
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Use the information below to determine the cardinality of the set. U = {x | x ? N and x ? 12} A = {x | x ? N and 6 < x < 12} B = {x | x ? N and x is even and x < 12}n(A' ? B)
A. 8 B. 12 C. 9 D. 3
Mathematics
Evaluate the integral.
A. 2
- 5 ln 
+ C
B. 2
+ 5 ln 
+ C
C. 2
+ C
D. 2
+ 5 tan-1 
+ C
Mathematics
Write the quadratic function in the standard form y = a(x - h)2 + k.y = -3x2 - 18x - 23
A. y = 3(x + 3)2 + 4 B. y = -3(x - 3)2 + 4 C. y = (x + 3)2 + 4 D. y = -3(x + 3)2 + 4
Mathematics
Solve for the specified variable.S = 
for r
A. r = 
B. r = S - a
C. r = 
D. r = 
- 1
Mathematics