1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex 2. Consider the feasible region in the xy-plane defined by the following linear equalities:

X>=0

Y>=0

X<=12

X + Y >= 4

-X + 2Y <= 14

A. Find the value of Q=70x+82y for each vertex

B. What are the minimum and maximum values of the function Q on the feasible region?

Question 1(multiple choice worth 1 points)(07.06 mc)a group of students must collect at least $150 to organize a science fair. they have already collected $30. which graph best represents all remaining amounts of money, in dollars, that thestudents should still collect to organize the science fair? -210 -180 -150 - 120 -90-60 -300306090 120 150 180 210-210 -180 -150 - 120 -90 -60 -30 0 30 60 90 120 150 180 210-210 -180-150 - 120 -90-60-300 30 60 90 120 150 180 210-210 -180 -150 - 120.90 -60 -30 0 30 60 90 120 150 180 210

For the quadratic function [tex]y=(x+4)^2-1[/tex] , do the following: a) rewrite the function in the standard form, b) rewrite the function in intercept form, c) find the vertex, d) find the y-intercept, e) find the x-intercepts.

Using the information in the customer order, determine the length and width of the garden. enter the dimensions. length: feet width: feet