Use the simplex method to solve the linear programming problem.Alan wants to invest a total of $21,000 in mutual funds and a certificate of deposit (CD). He wants to invest no more in mutual funds than half the amount he invests in the CD. His expected return on mutual funds is 8% and on the CD is 4%. How much money should Alan invest in each area in order to have the largest return on his investments? What is his maximum one-year return?
A. Maximum one-year return is $1680 when he invests $21,000 in mutual funds and $0 in the CD.
B. Maximum one-year return is $1120 when he invests $7000 in mutual funds and $14,000 in the CD.
C. Maximum one-year return is $840 when he invests $0 in mutual funds and $21,000 in the CD.
D. Maximum one-year return is $4200 when he invests $14,000 in mutual funds and $7000 in the CD.
Answer: B
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Solve the problem.The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f.
A. 
B. 
C. 
D. 
Provide an appropriate response.For the linear function f(x) = mx + b, f(2) = 8 and f(-6) = 20. Find m and b.
A. m = 
; b = 6
B. m = 
; b = 3
C. m = 
; b = 10
D. m = - 
; b = 11
Find the perimeter. Use ? ? 3.14. Round the answer to the nearest tenth.
A. 59.1 ft B. 51.1 ft C. 38.6 ft D. 46.6 ft
Classify the angle.
A. Right B. Obtuse C. Straight D. Acute