Chris wants to build at most 50 picture frames. He cannot build more than 30 of Type A or more than 40 of Type
B. Type A makes Chris $5 each and Type makes Chris $3
each. How many should he make of each type to MAXIMIZE
his profit?
Write the constraints, determine the objective function,
identify the vertices of the feasible region, and then
determine the final answer for Chris.

What is the rate for one gallon of gasoline

21 a stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. how long are the two pieces?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?