exam Maths Puzzle Numerical Ability

Ellen mixes nuts worth $1.60 per pound with oats worth $1.40 per pound to get 20 lbs of trail mix worth $1.54 per pound. How many pounds of nuts and how many pounds of oats should she use?

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exam Other Question

An objective function is to be maximized given the following constraints: x + 2y <- 4, x - y <- 1, x >- 0, y >- 0. Find the vertices of the set of feasible solutions.

Thank you Find the determinate of the matrix
(8 + 4a 4)
(5 + 3a 3)

Possible answers are:
a.) 4
b.) 44
c.) 4 + 24a
d.) 44 + 24a