Write a linear programming model, including the objective function and the set of constraints for the following problem. DO NOT SOLVE, but be sure to define all your variables.
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Brown Bros., Inc., is an investment company doing an analysis of the pension fund for a certain company. The fund has a maximum of $10 million to invest in two places: no more than $8 million in stocks yielding 12%, and at least $2 million in long-term bonds yielding 9%. The stock-to-bond investment ratio cannot be more than 2 to 1. How should Brown Bros. advise its client so that the investments yield the maximum yearly return?
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DENOTE:
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x = amount invested in stock (in millions of dollars)
y = amount invested in bonds (in millions of dollars)
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A. 
?
B.
?
C.
?
D.
?
E.
?
Answer: A
Mathematics
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Write the expression as the sum or difference of single logarithms.log17
A. log17(15
) - log17y
B. log1715 + 
log17x - log17y
C. log1715 ? 
log17m ÷ log17y
D. log17y - log1715 - 
log17x
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Solve the problem.A coin is tossed upward from a balcony 262 ft high with an initial velocity of 16 ft/sec. During what interval of time will the coin be at a height of at least 70 ft? (h = -16t2 + v0t + h0)
A. 0 ? t ? 1 B. 4 ? t ? 8 C. 3 ? t ? 4 D. 0 ? t ? 4
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Find the domain of the rational function.h(x) = 
A. {x|x ? 0} B. all real numbers C. {x|x ? 7} D. {x|x ? -7}
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Draw the graph of the equation.
A. 
B. 
C. 
D. 
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