3) ponder the following linear programming problem:
min z = 3x1 + 8x2
subject to: 3x1 + 4x2 ≥ 52
3x1 + 4x2 ≥ 38
x1, x2 ≥ 0
a)what is minimum cost and the value of x1 and x2 at the optimal solution?
b) show the graphical solution!

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?

Sam is picking fruit from a basket that contains many different kinds of fruit. which set of events is independent?