State the linear programming problem in mathematical terms, identifying the objective function and the constraints.A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 5 protein and 3 fat units at $5/bag. Feed type II provides 4 protein and 4 fat units at $3/bag. Which mixture fills the needs at minimum cost?
A. Minimize 5x + 3y
Subject to: 5x + 4y ? 8
3x + 4y ? 10
x, y ? 0.
B. Minimize 5x + 3y
Subject to: 5x + 4y ? 8
3x + 4y ? 10
x, y ? 0.
C. Minimize 5x + 3y
Subject to: 5x + 4y ? 10
3x + 4y ? 8
x, y ? 0.
D. Minimize 3x + 5y
Subject to: 5x + 3y ? 10
4x + 4y ? 8
x, y ? 0.
Answer: C
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in the first quadrant bounded by the coordinate axes and the curve 
.
A. 
B. 
C. 
D. 
Find the extreme values of the function subject to the given constraint.
A. Maximum: 1 at 
minimum: -1 at 
B. Maximum: 8 at 
minimum: -8 at 
C. Maximum: 1 at 
minimum: -1 at 
D. Maximum: 9 at 
minimum: -9 at 
Provide an appropriate response.Starting with a tone having a frequency of 192 cycles per second, find the frequency of the tone that is three octaves higher.
A. 576 cps B. 36,864 cps C. 1536 cps D. 768 cps
Solve the equation.10x + 3 = 12x - 11
A. x = 7 B. x = 4 C. x = 14 D. x = 2