An animal shelter mixes two brands of dog food. Brand X costs $29 per bag and contains two units of nutritional element A, two units of element B, and two units of element C. Brand Y costs $22 per bag and contains one unit of nutritional element A, nine units of element B, and three units of element C. The minimum required amounts of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively. What is the optimal number of bags of each brand that should be mixed? What is the optimal cost?
?
A. 9 bags of brand X2 bags of brand YOptimal cost: $305
B. 6 bags of brand X3 bags of brand YOptimal cost: $264
C. 2 bags of brand X9 bags of brand YOptimal cost: $522
D. 18 bags of brand X12 bags of brand YOptimal cost: $786
E. 3 bags of brand X6 bags of brand YOptimal cost: $219
Answer: E
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Evaluate the integral.
A. 
B. ?
C. 
D. 
Given that the polynomial function has the given zero, find the other zeros.f(x) = x4 - 36; 
A. 
i
B. -6i, 6i, -
C. -
i, 
i, -
D. -
Using synthetic division, determine whether the numbers are zeros of the polynomial.0, -2; f(x) = -x4 + 5x2 - 3x - 10
A. Yes; yes B. No; yes C. Yes; no D. No; no
Use graphical methods to find any turning points of the graph of the function.f(x) = 
A. (1, 0), (-1, 0) B. (1, 0), (0, -1), (-1, 0) C. No turning points D. (0, -1)