Answer Happy

Consider the graphed problem below: -10 10 0 -10 10 4x+12y=180 20 30 The graph shows three graphed inequalities. The boundary lines are pink, blue, and green. (The one equation you see corresponds to the pink line but that info is not needed for the question below.) There are non-negative constraints. A few numbers are marked along the x and y axes for you to be able to read this graph. The solution region is clearly shaded in yellow. Determine the number of corner points. Type answer below.
A company produces foam mattresses in two sizes: queen and king. It takes 0.05 hours to cut the foam for a queen mattress and 0.1 hours for a king mattress. If the cutting department has no more than 50 labor-hours available each day, how many queen and how many king mattress can be cut in one day? Write the inequality statement needed to solve this problem. (This problem will be re-graded to account for minor differences when typing in answers.) If needed, use the following: <= represents less than or equal to >= represents greater than or equal to