1) Solve the system graphically and indicate whether the solution region is bounded or unbounded. Find the coordinates of each corner point.

2x+y8

x+y7

x0

y0

2) A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski requires 8 labor-hours for fabricating and 1 labor-hour for finishing. The slalom ski requires 3 labor-hours for fabricating and1 labor-hour for finishing. The maximum labor-hours available per day for fabricating and finishing are 96 and 20,respectively. Find the set of feasible solutions graphically for the number of each type of ski that can be produced.

a) If x is the number of trick skis and y is the number of slalom skis produced per day, give system of linear inequalities that indicates appropriate restraints on x and y. Give an inequality for the constraint on fabricating time. Complete the inequality below.

b) Give an inequality for the constraint on finishing time. Complete the inequality below.

c) Are any other inequalities needed?

A.Yes, xy

B.Yes, x0 and y0

C.No

D.Yes, x0 and y0

d) Graph the region that represents the correct solution only once.